112387032576 has 640 divisors, whose sum is σ = 419623142400. Its totient is φ = 28904325120.

The previous prime is 112387032529. The next prime is 112387032577. The reversal of 112387032576 is 675230783211.

112387032576 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 8 + 70 + 3 + 2 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112387032577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51576255 + ... + 51578433.

It is an arithmetic number, because the mean of its divisors is an integer number (655661160).

Almost surely, 2^112387032576 is an apocalyptic number.

112387032576 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 112387032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209811571200).

112387032576 is an abundant number, since it is smaller than the sum of its proper divisors (307236109824).

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

112387032576 is a wasteful number, since it uses less digits than its factorization.

112387032576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 112387032576 in words is "one hundred twelve billion, three hundred eighty-seven million, thirty-two thousand, five hundred seventy-six".