112643190972 has 96 divisors (see below), whose sum is σ = 315394685760. Its totient is φ = 34561105920.

The previous prime is 112643190931. The next prime is 112643190973. The reversal of 112643190972 is 279091346211.

112643190972 is a `hidden beast` number, since 1 + 1 + 264 + 319 + 0 + 9 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112643190973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381972 + ... + 609252.

It is an arithmetic number, because the mean of its divisors is an integer number (3285361310).

Almost surely, 2^112643190972 is an apocalyptic number.

112643190972 is a gapful number since it is divisible by the number (12) 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 112643190972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157697342880).

112643190972 is an abundant number, since it is smaller than the sum of its proper divisors (202751494788).

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

112643190972 is a wasteful number, since it uses less digits than its factorization.

112643190972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227660 (or 227652 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 112643190972 in words is "one hundred twelve billion, six hundred forty-three million, one hundred ninety thousand, nine hundred seventy-two".