112331685024 has 288 divisors, whose sum is σ = 355360509504. Its totient is φ = 33439150080.

The previous prime is 112331685023. The next prime is 112331685029. The reversal of 112331685024 is 420586133211.

112331685024 is a `hidden beast` number, since 112 + 3 + 31 + 6 + 8 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112331685024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112331685024.

It is not an unprimeable number, because it can be changed into a prime (112331685023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17222884 + ... + 17229404.

It is an arithmetic number, because the mean of its divisors is an integer number (1233890658).

Almost surely, 2^112331685024 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 112331685024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177680254752).

112331685024 is an abundant number, since it is smaller than the sum of its proper divisors (243028824480).

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

112331685024 is a wasteful number, since it uses less digits than its factorization.

112331685024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112331685024 in words is "one hundred twelve billion, three hundred thirty-one million, six hundred eighty-five thousand, twenty-four".