112892313600 has 960 divisors, whose sum is σ = 468083880000. Its totient is φ = 26424115200.

The previous prime is 112892313493. The next prime is 112892313601. The reversal of 112892313600 is 6313298211.

112892313600 is a `hidden beast` number, since 1 + 1 + 28 + 9 + 23 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112892313601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3892838386 + ... + 3892838414.

It is an arithmetic number, because the mean of its divisors is an integer number (487587375).

Almost surely, 2^112892313600 is an apocalyptic number.

112892313600 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 112892313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234041940000).

112892313600 is an abundant number, since it is smaller than the sum of its proper divisors (355191566400).

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

112892313600 is an frugal number, since it uses more digits than its factorization.

112892313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 112892313600 in words is "one hundred twelve billion, eight hundred ninety-two million, three hundred thirteen thousand, six hundred".