112631335116300 has 2592 divisors, whose sum is σ = 507158883504000. Its totient is φ = 20273902387200.

The previous prime is 112631335116269. The next prime is 112631335116329. The reversal of 112631335116300 is 3611533136211.

112631335116300 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 1 + 3 + 3 + 5 + 11 + 630 + 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 863 ways as a sum of consecutive naturals, for example, 75642265956 + ... + 75642267444.

It is an arithmetic number, because the mean of its divisors is an integer number (195663149500).

Almost surely, 2^{112631335116300} is an apocalyptic number.

112631335116300 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 112631335116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253579441752000).

112631335116300 is an abundant number, since it is smaller than the sum of its proper divisors (394527548387700).

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

112631335116300 is a wasteful number, since it uses less digits than its factorization.

112631335116300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 112631335116300 in words is "one hundred twelve trillion, six hundred thirty-one billion, three hundred thirty-five million, one hundred sixteen thousand, three hundred".