112624606512 has 360 divisors, whose sum is σ = 352623961872. Its totient is φ = 33527070720.

The previous prime is 112624606477. The next prime is 112624606531. The reversal of 112624606512 is 215606426211.

112624606512 is a `hidden beast` number, since 1 + 1 + 26 + 24 + 606 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×112624606512² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359822868 + ... + 359823180.

Almost surely, 2^112624606512 is an apocalyptic number.

112624606512 is a gapful number since it is divisible by the number (12) 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 112624606512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176311980936).

112624606512 is an abundant number, since it is smaller than the sum of its proper divisors (239999355360).

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

112624606512 is a wasteful number, since it uses less digits than its factorization.

112624606512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112624606512 in words is "one hundred twelve billion, six hundred twenty-four million, six hundred six thousand, five hundred twelve".