112689753264 has 120 divisors (see below), whose sum is σ = 345262312512. Its totient is φ = 34027608960.

The previous prime is 112689753263. The next prime is 112689753287. The reversal of 112689753264 is 462357986211.

It is a happy number.

112689753264 is a `hidden beast` number, since 1 + 1 + 26 + 89 + 7 + 532 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112689753264.

It is not an unprimeable number, because it can be changed into a prime (112689753263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322579 + ... + 573965.

Almost surely, 2^112689753264 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 112689753264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172631156256).

112689753264 is an abundant number, since it is smaller than the sum of its proper divisors (232572559248).

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

112689753264 is a wasteful number, since it uses less digits than its factorization.

112689753264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251695 (or 251686 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 112689753264 in words is "one hundred twelve billion, six hundred eighty-nine million, seven hundred fifty-three thousand, two hundred sixty-four".