112614407136 has 192 divisors, whose sum is σ = 409507176960. Its totient is φ = 29250478080.

The previous prime is 112614407123. The next prime is 112614407183. The reversal of 112614407136 is 631704416211.

112614407136 is a `hidden beast` number, since 1 + 1 + 2 + 614 + 4 + 0 + 7 + 1 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112614407136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779841 + ... + 912896.

It is an arithmetic number, because the mean of its divisors is an integer number (2132849880).

Almost surely, 2^112614407136 is an apocalyptic number.

112614407136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112614407136 is an abundant number, since it is smaller than the sum of its proper divisors (296892769824).

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

112614407136 is a wasteful number, since it uses less digits than its factorization.

112614407136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692774 (or 1692760 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 112614407136 in words is "one hundred twelve billion, six hundred fourteen million, four hundred seven thousand, one hundred thirty-six".