112620437664000 has 4608 divisors, whose sum is σ = 493693304832000. Its totient is φ = 22159982592000.

The previous prime is 112620437663963. The next prime is 112620437664011. The reversal of 112620437664000 is 466734026211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 810218975931 + ... + 810218976069.

It is an arithmetic number, because the mean of its divisors is an integer number (107138304000).

Almost surely, 2^{112620437664000} is an apocalyptic number.

112620437664000 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 112620437664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246846652416000).

112620437664000 is an abundant number, since it is smaller than the sum of its proper divisors (381072867168000).

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

112620437664000 is a wasteful number, since it uses less digits than its factorization.

112620437664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 112620437664000 in words is "one hundred twelve trillion, six hundred twenty billion, four hundred thirty-seven million, six hundred sixty-four thousand".