22601476318201 has 27 divisors (see below), whose sum is σ = 26391294587343. Its totient is φ = 19337400899520.

The previous prime is 22601476318193. The next prime is 22601476318241. The reversal of 22601476318201 is 10281367410622.

The square root of 22601476318201 is 4754101.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17596305092025 + 5005171226176 = 4194795^2 + 2237224^2 .

It is not a de Polignac number, because 22601476318201 - 2³ = 22601476318193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22601476318241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 889004176 + ... + 889029598.

Almost surely, 2^{22601476318201} is an apocalyptic number.

22601476318201 is the 4754101-st square number.

22601476318201 is the 2377051-st centered octagonal number.

It is an amenable number.

22601476318201 is a deficient number, since it is larger than the sum of its proper divisors (3789818269142).

22601476318201 is an frugal number, since it uses more digits than its factorization.

22601476318201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50902 (or 25451 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 22601476318201 in words is "twenty-two trillion, six hundred one billion, four hundred seventy-six million, three hundred eighteen thousand, two hundred one".