Octoquinquagintaoctingentillion

An octoquinquagintaoctingentillion is equal to \(10^{2577}\) in the short scale and \(10^{5148}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 858th -illion number.
In the long scale, \(10^{2577}\) is called novemvigintiquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2577}\) (exact) 	\(1\times10^{2577}\) (exact)
Arrow notation 	\(10\uparrow 2577\) (exact) 	\(10\uparrow 2577\) (exact)
Steinhaus-Moser Notation 	875[3] 	876[3]
Chained arrow notation 	\(10\rightarrow 2577\) (exact) 	\(10\rightarrow 2577\) (exact)
Taro's multivariable Ackermann function	A(3,8557) 	A(3,8558)
BEAF & Bird's array notation 	{10,2577} (exact) 	{10,2577} (exact)
Hyper-E notation 	E2577 (exact) 	E2577 (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)(875) 	m(1)(876)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8547)\) 	\(f_2(8548)\)
Hardy hierarchy 	\(H_{\omega^2}(8547)\) 	\(H_{\omega^2}(8548)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 7+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 7+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5148}\) (exact) 	\(1\times10^{5148}\) (exact)
Arrow notation 	\(10\uparrow 5148\) (exact) 	\(10\uparrow 5148\) (exact)
Steinhaus-Moser Notation 	1605[3] 	1606[3]
Chained arrow notation 	\(10\rightarrow 5148\) (exact) 	\(10\rightarrow 5148\) (exact)
Taro's multivariable Ackermann function	A(3,17098) 	A(3,17099)
BEAF & Bird's array notation 	{10,5148} (exact) 	{10,5148} (exact)
Hyper-E notation 	E5148 (exact) 	E5148 (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)(1605) 	m(1)(1606)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17087)\) 	\(f_2(17088)\)
Hardy hierarchy 	\(H_{\omega^2}(17087)\) 	\(H_{\omega^2}(17088)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2+\omega 4+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers