113610974400 has 1008 divisors, whose sum is σ = 510204963840. Its totient is φ = 23290675200.

The previous prime is 113610974377. The next prime is 113610974401. The reversal of 113610974400 is 4479016311.

113610974400 is a `hidden beast` number, since 113 + 6 + 10 + 97 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (113610974401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87594552 + ... + 87595848.

Almost surely, 2^113610974400 is an apocalyptic number.

113610974400 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 113610974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255102481920).

113610974400 is an abundant number, since it is smaller than the sum of its proper divisors (396593989440).

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

113610974400 is a wasteful number, since it uses less digits than its factorization.

113610974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 113610974400 in words is "one hundred thirteen billion, six hundred ten million, nine hundred seventy-four thousand, four hundred".