112668376766400 has 5040 divisors, whose sum is σ = 542310625612800. Its totient is φ = 22420121518080.

The previous prime is 112668376766383. The next prime is 112668376766411. The reversal of 112668376766400 is 4667673866211.

112668376766400 is a `hidden beast` number, since 1 + 1 + 26 + 6 + 83 + 76 + 7 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 313839489421 + ... + 313839489779.

Almost surely, 2^{112668376766400} is an apocalyptic number.

112668376766400 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 112668376766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271155312806400).

112668376766400 is an abundant number, since it is smaller than the sum of its proper divisors (429642248846400).

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

112668376766400 is a wasteful number, since it uses less digits than its factorization.

112668376766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 501 counting only the distinct ones).

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

The spelling of 112668376766400 in words is "one hundred twelve trillion, six hundred sixty-eight billion, three hundred seventy-six million, seven hundred sixty-six thousand, four hundred".