112840475904 has 864 divisors, whose sum is σ = 396947416320. Its totient is φ = 30480924672.

The previous prime is 112840475893. The next prime is 112840475911. The reversal of 112840475904 is 409574048211.

112840475904 is a `hidden beast` number, since 1 + 12 + 8 + 4 + 0 + 47 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112840475904.

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, 484293772 + ... + 484294004.

It is an arithmetic number, because the mean of its divisors is an integer number (459429880).

Almost surely, 2^112840475904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112840475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198473708160).

112840475904 is an abundant number, since it is smaller than the sum of its proper divisors (284106940416).

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

112840475904 is a wasteful number, since it uses less digits than its factorization.

112840475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 112840475904 in words is "one hundred twelve billion, eight hundred forty million, four hundred seventy-five thousand, nine hundred four".