113493715200 has 324 divisors, whose sum is σ = 406449962100. Its totient is φ = 30213980160.

The previous prime is 113493715129. The next prime is 113493715207. The reversal of 113493715200 is 2517394311.

113493715200 is a `hidden beast` number, since 1 + 13 + 493 + 7 + 152 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2652662016 + 110841053184 = 51504^2 + 332928^2 .

It is a super-2 number, since 2×113493715200² (a number of 23 digits) contains 22 as substring.

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 (113493715207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44523526 + ... + 44526074.

Almost surely, 2^113493715200 is an apocalyptic number.

113493715200 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 113493715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203224981050).

113493715200 is an abundant number, since it is smaller than the sum of its proper divisors (292956246900).

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

113493715200 is a wasteful number, since it uses less digits than its factorization.

113493715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 113493715200 in words is "one hundred thirteen billion, four hundred ninety-three million, seven hundred fifteen thousand, two hundred".