112601664000 has 1600 divisors, whose sum is σ = 500519036160. Its totient is φ = 24617779200.

The previous prime is 112601663989. The next prime is 112601664031. The reversal of 112601664000 is 466106211.

112601664000 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 0 + 16 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1052351947 + ... + 1052352053.

Almost surely, 2^112601664000 is an apocalyptic number.

112601664000 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 112601664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250259518080).

112601664000 is an abundant number, since it is smaller than the sum of its proper divisors (387917372160).

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

112601664000 is an equidigital number, since it uses as much as digits as its factorization.

112601664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 112601664000 in words is "one hundred twelve billion, six hundred one million, six hundred sixty-four thousand".