Octoquadragintaquingentillion

An octoquadragintaquingentillion is equal to \(10^{1647}\) in the short scale and \(10^{3288}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 548th -illion number.
In the long scale, \(10^{1647}\) is called quattuorseptuagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1647}\) (exact) 	\(1\times10^{1647}\) (exact)
Arrow notation 	\(10\uparrow 1647\) (exact) 	\(10\uparrow 1647\) (exact)
Steinhaus-Moser Notation 	593[3] 	594[3]
Chained arrow notation 	\(10\rightarrow 1647\) (exact) 	\(10\rightarrow 1647\) (exact)
Taro's multivariable Ackermann function	A(3,5468) 	A(3,5469)
BEAF & Bird's array notation 	{10,1647} (exact) 	{10,1647} (exact)
Hyper-E notation 	E1647 (exact) 	E1647 (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)(593) 	m(1)(594)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5458)\) 	\(f_2(5459)\)
Hardy hierarchy 	\(H_{\omega^2}(5458)\) 	\(H_{\omega^2}(5459)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 4+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 4+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3288}\) (exact) 	\(1\times10^{3288}\) (exact)
Arrow notation 	\(10\uparrow 3288\) (exact) 	\(10\uparrow 3288\) (exact)
Steinhaus-Moser Notation 	1083[3] 	1084[3]
Chained arrow notation 	\(10\rightarrow 3288\) (exact) 	\(10\rightarrow 3288\) (exact)
Taro's multivariable Ackermann function	A(3,10919) 	A(3,10920)
BEAF & Bird's array notation 	{10,3288} (exact) 	{10,3288} (exact)
Hyper-E notation 	E3288 (exact) 	E3288 (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)(1083) 	m(1)(1084)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10909)\) 	\(f_2(10910)\)
Hardy hierarchy 	\(H_{\omega^2}(10909)\) 	\(H_{\omega^2}(10910)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 8+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 8+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers