112613936400 has 1215 divisors, whose sum is σ = 493414070799. Its totient is φ = 23710740480.

The previous prime is 112613936389. The next prime is 112613936429. The reversal of 112613936400 is 4639316211.

The square root of 112613936400 is 335580.

It is a perfect power (a square), and thus also a powerful number.

112613936400 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 3 + 9 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2634152976 + 109979783424 = 51324^2 + 331632^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 2396041177 + ... + 2396041223.

Almost surely, 2^112613936400 is an apocalyptic number.

112613936400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112613936400 is the 335580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112613936400

112613936400 is an abundant number, since it is smaller than the sum of its proper divisors (380800134399).

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

112613936400 is a wasteful number, since it uses less digits than its factorization.

112613936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 112613936400 by its sum of digits (36), we get a square (4054101710400 = 2013480²).

112613936400 divided by its sum of digits (36) gives a square (3128164900 = 55930²).

The spelling of 112613936400 in words is "one hundred twelve billion, six hundred thirteen million, nine hundred thirty-six thousand, four hundred".