112800386688 has 256 divisors, whose sum is σ = 347273671680. Its totient is φ = 32061440000.

The previous prime is 112800386659. The next prime is 112800386693. The reversal of 112800386688 is 886683008211.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 112800386688.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22329763 + ... + 22334813.

It is an arithmetic number, because the mean of its divisors is an integer number (1356537780).

Almost surely, 2^112800386688 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 112800386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173636835840).

112800386688 is an abundant number, since it is smaller than the sum of its proper divisors (234473284992).

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

112800386688 is a wasteful number, since it uses less digits than its factorization.

112800386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 112800386688 in words is "one hundred twelve billion, eight hundred million, three hundred eighty-six thousand, six hundred eighty-eight".