112914229176 has 768 divisors, whose sum is σ = 397135872000. Its totient is φ = 29562382080.

The previous prime is 112914229163. The next prime is 112914229187. The reversal of 112914229176 is 671922419211.

112914229176 is a `hidden beast` number, since 1 + 1 + 291 + 4 + 2 + 291 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 812332515 + ... + 812332653.

It is an arithmetic number, because the mean of its divisors is an integer number (517104000).

Almost surely, 2^112914229176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112914229176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567936000).

112914229176 is an abundant number, since it is smaller than the sum of its proper divisors (284221642824).

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

112914229176 is a wasteful number, since it uses less digits than its factorization.

112914229176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 112914229176 in words is "one hundred twelve billion, nine hundred fourteen million, two hundred twenty-nine thousand, one hundred seventy-six".