113415573600 has 576 divisors, whose sum is σ = 470274900480. Its totient is φ = 25841203200.

The previous prime is 113415573581. The next prime is 113415573629. The reversal of 113415573600 is 6375514311.

113415573600 is a `hidden beast` number, since 1 + 1 + 3 + 41 + 5 + 5 + 7 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56396595 + ... + 56398605.

It is an arithmetic number, because the mean of its divisors is an integer number (816449480).

Almost surely, 2^113415573600 is an apocalyptic number.

113415573600 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 113415573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235137450240).

113415573600 is an abundant number, since it is smaller than the sum of its proper divisors (356859326880).

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

113415573600 is a wasteful number, since it uses less digits than its factorization.

113415573600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 113415573600 in words is "one hundred thirteen billion, four hundred fifteen million, five hundred seventy-three thousand, six hundred".