Octooctogintaoctingentillion

An octooctogintaoctingentillion is equal to \(10^{2667}\) in the short scale and \(10^{5328}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 888th -illion number.
In the long scale, \(10^{2667}\) is called quattuorquadragintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2667}\) (exact) 	\(1\times10^{2667}\) (exact)
Arrow notation 	\(10\uparrow 2667\) (exact) 	\(10\uparrow 2667\) (exact)
Steinhaus-Moser Notation 	902[3] 	903[3]
Chained arrow notation 	\(10\rightarrow 2667\) (exact) 	\(10\rightarrow 2667\) (exact)
Taro's multivariable Ackermann function	A(3,8856) 	A(3,8857)
BEAF & Bird's array notation 	{10,2667} (exact) 	{10,2667} (exact)
Hyper-E notation 	E2667 (exact) 	E2667 (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)(902) 	m(1)(903)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8846)\) 	\(f_2(8847)\)
Hardy hierarchy 	\(H_{\omega^2}(8846)\) 	\(H_{\omega^2}(8847)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 6+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 6+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5328}\) (exact) 	\(1\times10^{5328}\) (exact)
Arrow notation 	\(10\uparrow 5328\) (exact) 	\(10\uparrow 5328\) (exact)
Steinhaus-Moser Notation 	1655[3] 	1656[3]
Chained arrow notation 	\(10\rightarrow 5328\) (exact) 	\(10\rightarrow 5328\) (exact)
Taro's multivariable Ackermann function	A(3,17696) 	A(3,17697)
BEAF & Bird's array notation 	{10,5328} (exact) 	{10,5328} (exact)
Hyper-E notation 	E5328 (exact) 	E5328 (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)(1655) 	m(1)(1656)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17685)\) 	\(f_2(17686)\)
Hardy hierarchy 	\(H_{\omega^2}(17685)\) 	\(H_{\omega^2}(17686)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 3+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 3+\omega 2+8}}(10)\) (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