113713025392800 has 216 divisors, whose sum is σ = 401103676471680. Its totient is φ = 30314162649600.

The previous prime is 113713025392793. The next prime is 113713025392853. The reversal of 113713025392800 is 8293520317311.

113713025392800 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 1 + 30 + 2 + 539 + 2 + 80 + 0 = 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 35 ways as a sum of consecutive naturals, for example, 21041745 + ... + 25887855.

Almost surely, 2^{113713025392800} is an apocalyptic number.

113713025392800 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 113713025392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200551838235840).

113713025392800 is an abundant number, since it is smaller than the sum of its proper divisors (287390651078880).

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

113713025392800 is a wasteful number, since it uses less digits than its factorization.

113713025392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849396 (or 4849380 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 113713025392800 in words is "one hundred thirteen trillion, seven hundred thirteen billion, twenty-five million, three hundred ninety-two thousand, eight hundred".