112377632964480 has 512 divisors, whose sum is σ = 434656778572800. Its totient is φ = 27272574443520.

The previous prime is 112377632964437. The next prime is 112377632964517. The reversal of 112377632964480 is 84469236773211.

112377632964480 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 7 + 7 + 63 + 2 + 96 + 4 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12426507 + ... + 19472373.

It is an arithmetic number, because the mean of its divisors is an integer number (848939020650).

Almost surely, 2^{112377632964480} is an apocalyptic number.

112377632964480 is a gapful number since it is divisible by the number (10) 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 112377632964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217328389286400).

112377632964480 is an abundant number, since it is smaller than the sum of its proper divisors (322279145608320).

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

112377632964480 is a wasteful number, since it uses less digits than its factorization.

112377632964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045979 (or 7045961 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 112377632964480 in words is "one hundred twelve trillion, three hundred seventy-seven billion, six hundred thirty-two million, nine hundred sixty-four thousand, four hundred eighty".