112679974800 has 180 divisors, whose sum is σ = 405513785040. Its totient is φ = 30047967360.

The previous prime is 112679974777. The next prime is 112679974801. The reversal of 112679974800 is 8479976211.

112679974800 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 79 + 97 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112679974801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482430 + ... + 676829.

Almost surely, 2^112679974800 is an apocalyptic number.

112679974800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112679974800 is an abundant number, since it is smaller than the sum of its proper divisors (292833810240).

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

112679974800 is a wasteful number, since it uses less digits than its factorization.

112679974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159292 (or 1159269 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 112679974800 in words is "one hundred twelve billion, six hundred seventy-nine million, nine hundred seventy-four thousand, eight hundred".