112832632762304 has 224 divisors, whose sum is σ = 277092825340800. Its totient is φ = 44391405846528.

The previous prime is 112832632762279. The next prime is 112832632762313. The reversal of 112832632762304 is 403267236238211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789249422 + ... + 789392370.

It is an arithmetic number, because the mean of its divisors is an integer number (1237021541700).

Almost surely, 2^{112832632762304} is an apocalyptic number.

112832632762304 is a gapful number since it is divisible by the number (14) 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 112832632762304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138546412670400).

112832632762304 is an abundant number, since it is smaller than the sum of its proper divisors (164260192578496).

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

112832632762304 is a wasteful number, since it uses less digits than its factorization.

112832632762304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143727 (or 143717 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 112832632762304 in words is "one hundred twelve trillion, eight hundred thirty-two billion, six hundred thirty-two million, seven hundred sixty-two thousand, three hundred four".