112766976000 has 1536 divisors, whose sum is σ = 510355123200. Its totient is φ = 23357030400.

The previous prime is 112766975999. The next prime is 112766976043. The reversal of 112766976000 is 679667211.

It is a happy number.

112766976000 is a `hidden beast` number, since 11 + 27 + 6 + 6 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4902911989 + ... + 4902912011.

It is an arithmetic number, because the mean of its divisors is an integer number (332262450).

Almost surely, 2^112766976000 is an apocalyptic number.

112766976000 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 112766976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255177561600).

112766976000 is an abundant number, since it is smaller than the sum of its proper divisors (397588147200).

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

112766976000 is an equidigital number, since it uses as much as digits as its factorization.

112766976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 112766976000 in words is "one hundred twelve billion, seven hundred sixty-six million, nine hundred seventy-six thousand".