112610966832 has 240 divisors, whose sum is σ = 393199014208. Its totient is φ = 29292503040.

The previous prime is 112610966821. The next prime is 112610966843. The reversal of 112610966832 is 238669016211.

It is an interprime number because it is at equal distance from previous prime (112610966821) and next prime (112610966843).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 897732 + ... + 1015452.

Almost surely, 2^112610966832 is an apocalyptic number.

112610966832 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 112610966832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196599507104).

112610966832 is an abundant number, since it is smaller than the sum of its proper divisors (280588047376).

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

112610966832 is a wasteful number, since it uses less digits than its factorization.

112610966832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117828 (or 117819 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 112610966832 in words is "one hundred twelve billion, six hundred ten million, nine hundred sixty-six thousand, eight hundred thirty-two".