113657546880 has 288 divisors, whose sum is σ = 405562311180. Its totient is φ = 29329551360.

The previous prime is 113657546753. The next prime is 113657546909. The reversal of 113657546880 is 88645756311.

It is a happy number.

113657546880 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 575 + 4 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113590569024 + 66977856 = 337032^2 + 8184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5525094 + ... + 5545626.

Almost surely, 2^113657546880 is an apocalyptic number.

113657546880 is a gapful number since it is divisible by the number (10) 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 113657546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202781155590).

113657546880 is an abundant number, since it is smaller than the sum of its proper divisors (291904764300).

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

113657546880 is a wasteful number, since it uses less digits than its factorization.

113657546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 113657546880 in words is "one hundred thirteen billion, six hundred fifty-seven million, five hundred forty-six thousand, eight hundred eighty".