112814456832 has 912 divisors, whose sum is σ = 439696438272. Its totient is φ = 28028436480.

The previous prime is 112814456831. The next prime is 112814456849. The reversal of 112814456832 is 238654418211.

112814456832 is a `hidden beast` number, since 1 + 1 + 2 + 81 + 4 + 4 + 568 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (112814456831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4904976373 + ... + 4904976395.

Almost surely, 2^112814456832 is an apocalyptic number.

112814456832 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 112814456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219848219136).

112814456832 is an abundant number, since it is smaller than the sum of its proper divisors (326881981440).

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

112814456832 is an frugal number, since it uses more digits than its factorization.

112814456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 112814456832 in words is "one hundred twelve billion, eight hundred fourteen million, four hundred fifty-six thousand, eight hundred thirty-two".