Question: Princess Frederica Dorothea "Louise" Philippine of Prussia, was a member of the House of Hohenzollern, and was a niece of which King of Prussia from 1740 until 1786, the longest reign of any Hohenzollern king?

full_context: Document 1: List of monarchs of Prussia: The monarchs of Prussia were members of the House of Hohenzollern who were the hereditary rulers of the former German state of Prussia from its founding in 1525 as the Duchy of Prussia. The Duchy had evolved out of the Teutonic Order, a Roman Catholic crusader state and theocracy located along the eastern coast of the Baltic Sea. The Teutonic Knights were under the leadership of a Grand Master, the last of whom, Albert, converted to Protestantism and secularized the lands, which then became the Duchy of Prussia. The Duchy was initially a vassal of the Kingdom of Poland, as a result of the terms of the Prussian Homage whereby Albert was granted the Duchy as part of the terms of peace following the Prussian War. When the main line of Prussian Hohenzollerns died out in 1618, the Duchy passed to a different branch of the family, who also reigned as Electors of Brandenburg in the Holy Roman Empire. While still nominally two different territories, Prussia under the suzerainty of Poland and Brandenburg under the suzerainty of the Holy Roman Empire, the two states are known together historiographically as Brandenburg-Prussia. Following the Second Northern War, a series of treaties freed the Duchy of Prussia from any vassalage to any other state, making it a fully sovereign Duchy in its own right. This complex situation (where the Hohenzollern ruler of the independent Duchy of Prussia was also a subject of the Holy Roman Emperor as Elector of Brandenburg) laid the eventual groundwork for the establishment of the Kingdom of Prussia in 1701. For diplomatic reasons, the rulers of the state were known as the King in Prussia from 1701 to 1772; largely because they still owed fealty to the Emperor as Electors of Brandenburg, the "King in Prussia" title (as opposed to "King of Prussia") avoided offending the Emperor. As the Prussian state grew through several wars and diplomatic moves throughout the 18th century, it became apparent that Prussia had become a Great Power that did not need to submit meekly to the Holy Roman Empire. By 1772, the pretense was dropped, and the style "King of Prussia" was adopted. Thus it remained until 1871, when in the aftermath of the Franco-Prussian War, the King of Prussia Wilhelm I was crowned German Emperor. From that point forward, though the Kingdom of Prussia retained its status as a constituent state of the German Empire, all remaining Kings of Prussia also served as German Emperor, and that title took precedence.
Document 2: Frederick the Great: Frederick II (German: "Friedrich" ; 24 January 171217 August 1786) was King of Prussia from 1740 until 1786, the longest reign of any Hohenzollern king. His most significant accomplishments during his reign included his military victories, his reorganization of Prussian armies, his patronage of the arts and the Enlightenment in Prussia, and his final success against great odds in the Seven Years' War. Frederick was the last titled King in Prussia and declared himself King of Prussia after achieving full sovereignty for all historical Prussian lands. Prussia had greatly increased its territories and became a leading military power in Europe under his rule. He became known as Frederick the Great ("Friedrich der Große ") and was affectionately nicknamed "Der Alte Fritz " ("Old Fritz") by the Prussian and later by all German people.
Document 3: Silesian Wars: The Silesian Wars (German: "Schlesische Kriege" ) were a series of three wars fought in the mid-18th century between Prussia (under King Frederick the Great) and Austria (under Empress Maria Theresa) for control of Silesia, all three of which ended in Prussian victory. The First (1740–42) and Second (1744–45) Silesian Wars formed a part of the larger War of the Austrian Succession, while the Third Silesian War (1756–63) was one theater of the Seven Years' War.
Document 4: Princess Agnes of Hohenlohe-Langenburg: Princess Marie "Agnes" Henriette of Hohenlohe-Langenburg, full German name: "Marie Agnes Henriette, Prinzessin zu Hohenlohe-Langenburg" (5 December 1804, Langenburg, Principality of Hohenlohe-Langenburg – 9 September 1835, Haid, Kingdom of Bohemia, Austrian Empire) was a member of the House of Hohenlohe-Langenburg and a Princess of Hohenlohe-Langenburg by birth. Through her marriage to Constantine, Hereditary Prince of Löwenstein-Wertheim-Rosenberg, Agnes was also a member of the House of Löwenstein-Wertheim-Rosenberg and Hereditary Princess of Löwenstein-Wertheim-Rosenberg. Through her daughter Adelaide of Löwenstein-Wertheim-Rosenberg, Agnes is an ancestor to numerous Roman Catholic European royal families.
Document 5: Princess Kira of Prussia: Princess Kira of Prussia (Kira Auguste Viktoria Friederike; 27 June 1943 – 10 January 2004) was the fourth child and second daughter of Louis Ferdinand, Prince of Prussia and Grand Duchess Kira Kirillovna of Russia.
Document 6: Princess Alexandrine of Prussia (1842–1906): Princess Frederica Wilhelmina Louise Elisabeth "Alexandrine" of Prussia (1 February 1842 – 26 March 1906) was a member of the House of Hohenzollern as the daughter of Prince Albert of Prussia and his wife Princess Marianne of the Netherlands.
Document 7: Prince Henry of Prussia (1726–1802): Frederick Henry Louis (German: "Friedrich Heinrich Ludwig" ) (18 January 1726 – 3 August 1802), commonly known as Henry ("Heinrich "), was a Prince of Prussia and the younger brother of Frederick the Great. He also served as a general and statesman, leading Prussian armies in the Silesian Wars and the Seven Years' War, having never lost a battle in the latter. In 1786, he was suggested as a candidate for a monarch for the United States.
Document 8: Princess Charlotte of Prussia (1831–1855): Princess Frederica Louise Wilhelmina Marianne "Charlotte" of Prussia (21 June 1831 – 30 March 1855), was by birth a Princess of Prussia and member of the House of Hohenzollern and by marriage Hereditary Princess of Saxe-Meiningen.
Document 9: Battle of Torgau: In the Battle of Torgau on 3 November 1760, King Frederick the Great's Prussian army fought a larger Austrian army under the command of Field Marshal Leopold Josef Graf Daun. The Prussians won a costly victory in one of the bloodiest battles of the Third Silesian War (part of the Seven Years' War).
Document 10: Frederick William II of Prussia: Frederick William II (German: "Friedrich Wilhelm II." ; 25 September 1744 – 16 November 1797) was King of Prussia, from 1786 until his death. He was in personal union the Prince-elector of Brandenburg and (via the Orange-Nassau inheritance of his grandfather) sovereign prince of the Canton of Neuchâtel. Pleasure-loving and indolent, he is seen as the antithesis to his predecessor, Frederick II. Under his reign, Prussia was weakened internally and externally, and he failed to deal adequately with the challenges to the existing order posed by the French Revolution. His religious policies were directed against the Enlightenment and aimed at restoring a traditional Protestantism. However, he was a patron of the arts and responsible for the construction of some notable buildings, among them the Brandenburg Gate in Berlin.
Document 11: Princess Louise of Prussia (1770–1836): Princess Frederica Dorothea "Louise" Philippine of Prussia (24 May 1770 - 7 December 1836) was a member of the House of Hohenzollern. She was a niece of Frederick the Great, being the second daughter and third child of Prince Augustus Ferdinand of Prussia by his wife Margravine Elisabeth Louise of Brandenburg-Schwedt.
Document 12: Prince Louis Ferdinand of Prussia (1944–1977): Prince Louis Ferdinand Oskar Christian of Prussia (German: "Louis Ferdinand Oskar Christian Prinz von Preußen"; 25 August 1944 – 11 July 1977), also called Louis Ferdinand II or Louis Ferdinand Jr., nicknamed "Lulu", was a member of the House of Hohenzollern and the fifth of seven children of Prince Louis Ferdinand of Prussia and his wife, Grand Duchess Kira of Russia.
Document 13: Frederick William II of Prussia: Frederick William II (German: "Friedrich Wilhelm II." ; 25 September 1744 – 16 November 1797) was King of Prussia, from 1786 until his death. He was in personal union the Prince-elector of Brandenburg and (via the Orange-Nassau inheritance of his grandfather) sovereign prince of the Canton of Neuchâtel. Pleasure-loving and indolent, he is seen as the antithesis to his predecessor, Frederick II. Under his reign, Prussia was weakened internally and externally, and he failed to deal adequately with the challenges to the existing order posed by the French Revolution. His religious policies were directed against the Enlightenment and aimed at restoring a traditional Protestantism. However, he was a patron of the arts and responsible for the construction of some notable buildings, among them the Brandenburg Gate in Berlin.
Document 14: Princess Frederica Wilhelmina of Prussia: Princess Frederica Wilhelmina Louise Amalia of Prussia (30 September 1796 – 1 January 1850) was a daughter of Prince Louis Charles of Prussia and Frederica of Mecklenburg-Strelitz. She was a member of the House of Hohenzollern. By her marriage to Leopold IV, Duke of Anhalt-Dessau, she would become Duchess consort of Anhalt-Dessau.
Document 15: Louis XIV of France: Louis XIV (5 September 16381 September 1715), known as Louis the Great ("Louis le Grand ") or the Sun King ("le Roi Soleil "), was a monarch of the House of Bourbon who reigned as King of France from 1643 until his death in 1715. His reign of 72 years and 110 days is the longest recorded of any monarch of a sovereign country in European history. In the age of absolutism in Europe, Louis XIV's France was a leader in the growing centralization of power.
ground_truth: Frederick the Great