23113424961 has 81 divisors (see below), whose sum is σ = 39127081539. Its totient is φ = 13135478400.

The previous prime is 23113424951. The next prime is 23113424963. The reversal of 23113424961 is 16942431132.

The square root of 23113424961 is 152031.

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

23113424961 is a `hidden beast` number, since 2 + 31 + 134 + 2 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17994881025 + 5118543936 = 134145^2 + 71544^2 .

It is not a de Polignac number, because 23113424961 - 2⁹ = 23113424449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23113424963) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85289256 + ... + 85289526.

Almost surely, 2^23113424961 is an apocalyptic number.

23113424961 is the 152031-st square number.

23113424961 is the 76016-th centered octagonal number.

It is an amenable number.

23113424961 is a deficient number, since it is larger than the sum of its proper divisors (16013656578).

23113424961 is a wasteful number, since it uses less digits than its factorization.

23113424961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

Multiplying 23113424961 by its sum of digits (36), we get a square (832083298596 = 912186²).

The spelling of 23113424961 in words is "twenty-three billion, one hundred thirteen million, four hundred twenty-four thousand, nine hundred sixty-one".