112856716800 has 1200 divisors, whose sum is σ = 466919378640. Its totient is φ = 26754416640.

The previous prime is 112856716799. The next prime is 112856716801. The reversal of 112856716800 is 8617658211.

112856716800 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 567 + 1 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112856716799) and next prime (112856716801).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112856716801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 334886232 + ... + 334886568.

Almost surely, 2^112856716800 is an apocalyptic number.

112856716800 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 112856716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233459689320).

112856716800 is an abundant number, since it is smaller than the sum of its proper divisors (354062661840).

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

112856716800 is a wasteful number, since it uses less digits than its factorization.

112856716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 112856716800 in words is "one hundred twelve billion, eight hundred fifty-six million, seven hundred sixteen thousand, eight hundred".