113442658560 has 1728 divisors, whose sum is σ = 528957112320. Its totient is φ = 21737963520.

The previous prime is 113442658559. The next prime is 113442658607. The reversal of 113442658560 is 65856244311.

113442658560 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 2 + 6 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 893249217 + ... + 893249343.

It is an arithmetic number, because the mean of its divisors is an integer number (306109440).

Almost surely, 2^113442658560 is an apocalyptic number.

113442658560 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 113442658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264478556160).

113442658560 is an abundant number, since it is smaller than the sum of its proper divisors (415514453760).

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

113442658560 is a wasteful number, since it uses less digits than its factorization.

113442658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 113442658560 in words is "one hundred thirteen billion, four hundred forty-two million, six hundred fifty-eight thousand, five hundred sixty".