113025060864 has 351 divisors, whose sum is σ = 350210980353. Its totient is φ = 35114582016.

The previous prime is 113025060851. The next prime is 113025060871. The reversal of 113025060864 is 468060520311.

It is a happy number.

The square root of 113025060864 is 336192.

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

113025060864 is a `hidden beast` number, since 11 + 30 + 2 + 5 + 0 + 608 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87995289600 + 25029771264 = 296640^2 + 158208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1097330637 + ... + 1097330739.

Almost surely, 2^113025060864 is an apocalyptic number.

113025060864 is the 336192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113025060864

113025060864 is an abundant number, since it is smaller than the sum of its proper divisors (237185919489).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113025060864 is an equidigital number, since it uses as much as digits as its factorization.

113025060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 113025060864 by its sum of digits (36), we get a square (4068902191104 = 2017152²).

113025060864 divided by its sum of digits (36) gives a square (3139585024 = 56032²).

The spelling of 113025060864 in words is "one hundred thirteen billion, twenty-five million, sixty thousand, eight hundred sixty-four".