113493077875969 has 27 divisors (see below), whose sum is σ = 125725144320867. Its totient is φ = 102374076604800.

The previous prime is 113493077875937. The next prime is 113493077875981. The reversal of 113493077875969 is 969578770394311.

The square root of 113493077875969 is 10653313.

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., 18378154650625 + 95114923225344 = 4286975^2 + 9752688^2 .

It is not a de Polignac number, because 113493077875969 - 2⁵ = 113493077875937 is a prime.

It is a super-2 number, since 2×113493077875969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113493077870969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15351420337 + ... + 15351427729.

Almost surely, 2^{113493077875969} is an apocalyptic number.

113493077875969 is the 10653313-rd square number.

113493077875969 is the 5326657-th centered octagonal number.

It is an amenable number.

113493077875969 is a deficient number, since it is larger than the sum of its proper divisors (12232066444898).

113493077875969 is an frugal number, since it uses more digits than its factorization.

113493077875969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15070 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 2160406080, while the sum is 79.

The spelling of 113493077875969 in words is "one hundred thirteen trillion, four hundred ninety-three billion, seventy-seven million, eight hundred seventy-five thousand, nine hundred sixty-nine".