112172176416960 has 392 divisors, whose sum is σ = 436889235039696. Its totient is φ = 27193254266880.

The previous prime is 112172176416913. The next prime is 112172176416977. The reversal of 112172176416960 is 69614671271211.

112172176416960 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 7 + 217 + 6 + 416 + 9 + 6 + 0 = 666.

112172176416960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112172176416897 and 112172176416906.

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 55 ways as a sum of consecutive naturals, for example, 19290639 + ... + 24422798.

Almost surely, 2^{112172176416960} is an apocalyptic number.

112172176416960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112172176416960 is an abundant number, since it is smaller than the sum of its proper divisors (324717058622736).

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

112172176416960 is an equidigital number, since it uses as much as digits as its factorization.

112172176416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43713483 (or 43713458 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 112172176416960 in words is "one hundred twelve trillion, one hundred seventy-two billion, one hundred seventy-six million, four hundred sixteen thousand, nine hundred sixty".