113292260928 has 672 divisors, whose sum is σ = 424972154880. Its totient is φ = 29068554240.

The previous prime is 113292260927. The next prime is 113292260951. The reversal of 113292260928 is 829062292311.

113292260928 is a `hidden beast` number, since 1 + 1 + 32 + 9 + 2 + 2 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (113292260927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106577325 + ... + 106578387.

It is an arithmetic number, because the mean of its divisors is an integer number (632399040).

Almost surely, 2^113292260928 is an apocalyptic number.

113292260928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113292260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486077440).

113292260928 is an abundant number, since it is smaller than the sum of its proper divisors (311679893952).

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

113292260928 is a wasteful number, since it uses less digits than its factorization.

113292260928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 113292260928 in words is "one hundred thirteen billion, two hundred ninety-two million, two hundred sixty thousand, nine hundred twenty-eight".