112096524672 has 960 divisors, whose sum is σ = 409211352000. Its totient is φ = 30118625280.

The previous prime is 112096524641. The next prime is 112096524713. The reversal of 112096524672 is 276425690211.

112096524672 is a `hidden beast` number, since 1 + 120 + 9 + 65 + 2 + 467 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 626237479 + ... + 626237657.

It is an arithmetic number, because the mean of its divisors is an integer number (426261825).

Almost surely, 2^112096524672 is an apocalyptic number.

112096524672 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 112096524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204605676000).

112096524672 is an abundant number, since it is smaller than the sum of its proper divisors (297114827328).

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

112096524672 is a wasteful number, since it uses less digits than its factorization.

112096524672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 112096524672 in words is "one hundred twelve billion, ninety-six million, five hundred twenty-four thousand, six hundred seventy-two".