112868876736 has 672 divisors, whose sum is σ = 424054828800. Its totient is φ = 29109749760.

The previous prime is 112868876693. The next prime is 112868876737. The reversal of 112868876736 is 637678868211.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112868876737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166718830 + ... + 166719506.

Almost surely, 2^112868876736 is an apocalyptic number.

112868876736 is a gapful number since it is divisible by the number (16) 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 112868876736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212027414400).

112868876736 is an abundant number, since it is smaller than the sum of its proper divisors (311185952064).

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

112868876736 is a wasteful number, since it uses less digits than its factorization.

112868876736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 879 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 112868876736 in words is "one hundred twelve billion, eight hundred sixty-eight million, eight hundred seventy-six thousand, seven hundred thirty-six".