112416178507776 has 1248 divisors, whose sum is σ = 400238827672320. Its totient is φ = 29930264985600.

The previous prime is 112416178507771. The next prime is 112416178507807. The reversal of 112416178507776 is 677705871614211.

112416178507776 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 617 + 8 + 5 + 0 + 7 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is not an unprimeable number, because it can be changed into a prime (112416178507771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10854120390 + ... + 10854130746.

It is an arithmetic number, because the mean of its divisors is an integer number (320704188840).

Almost surely, 2^{112416178507776} is an apocalyptic number.

112416178507776 is a gapful number since it is divisible by the number (16) 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 112416178507776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200119413836160).

112416178507776 is an abundant number, since it is smaller than the sum of its proper divisors (287822649164544).

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

112416178507776 is a wasteful number, since it uses less digits than its factorization.

112416178507776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10511 (or 10486 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 112416178507776 in words is "one hundred twelve trillion, four hundred sixteen billion, one hundred seventy-eight million, five hundred seven thousand, seven hundred seventy-six".