Octoquadragintaoctingentillion

An octoquadragintaoctingentillion is equal to \(10^{2547}\) in the short scale and \(10^{5088}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 848th -illion number.
In the long scale, \(10^{2547}\) is called quattuorvigintiquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2547}\) (exact) 	\(1\times10^{2547}\) (exact)
Arrow notation 	\(10\uparrow 2547\) (exact) 	\(10\uparrow 2547\) (exact)
Steinhaus-Moser Notation 	866[3] 	867[3]
Chained arrow notation 	\(10\rightarrow 2547\) (exact) 	\(10\rightarrow 2547\) (exact)
Taro's multivariable Ackermann function	A(3,8457) 	A(3,8458)
BEAF & Bird's array notation 	{10,2547} (exact) 	{10,2547} (exact)
Hyper-E notation 	E2547 (exact) 	E2547 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(866) 	m(1)(867)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8447)\) 	\(f_2(8448)\)
Hardy hierarchy 	\(H_{\omega^2}(8447)\) 	\(H_{\omega^2}(8448)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5088}\) (exact) 	\(1\times10^{5088}\) (exact)
Arrow notation 	\(10\uparrow 5088\) (exact) 	\(10\uparrow 5088\) (exact)
Steinhaus-Moser Notation 	1589[3] 	1590[3]
Chained arrow notation 	\(10\rightarrow 5088\) (exact) 	\(10\rightarrow 5088\) (exact)
Taro's multivariable Ackermann function	A(3,16898) 	A(3,16899)
BEAF & Bird's array notation 	{10,5088} (exact) 	{10,5088} (exact)
Hyper-E notation 	E5088 (exact) 	E5088 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1589) 	m(1)(1590)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16887)\) 	\(f_2(16888)\)
Hardy hierarchy 	\(H_{\omega^2}(16887)\) 	\(H_{\omega^2}(16888)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega 8+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers