113722574400 has 840 divisors, whose sum is σ = 449455982976. Its totient is φ = 28101427200.

The previous prime is 113722574359. The next prime is 113722574431. The reversal of 113722574400 is 4475227311.

113722574400 is a `hidden beast` number, since 1 + 13 + 72 + 2 + 574 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156426837 + ... + 156427563.

Almost surely, 2^113722574400 is an apocalyptic number.

113722574400 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 113722574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224727991488).

113722574400 is an abundant number, since it is smaller than the sum of its proper divisors (335733408576).

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

113722574400 is a wasteful number, since it uses less digits than its factorization.

113722574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 113722574400 in words is "one hundred thirteen billion, seven hundred twenty-two million, five hundred seventy-four thousand, four hundred".