113036713574400 has 5400 divisors, whose sum is σ = 546823021128384. Its totient is φ = 22941912268800.

The previous prime is 113036713574387. The next prime is 113036713574423. The reversal of 113036713574400 is 4475317630311.

113036713574400 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 6 + 71 + 3 + 574 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2628760780779 + ... + 2628760780821.

Almost surely, 2^{113036713574400} is an apocalyptic number.

113036713574400 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 113036713574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273411510564192).

113036713574400 is an abundant number, since it is smaller than the sum of its proper divisors (433786307553984).

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

113036713574400 is an frugal number, since it uses more digits than its factorization.

113036713574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 113036713574400 in words is "one hundred thirteen trillion, thirty-six billion, seven hundred thirteen million, five hundred seventy-four thousand, four hundred".