112942566432 has 144 divisors (see below), whose sum is σ = 336376115712. Its totient is φ = 37274515200.

The previous prime is 112942566421. The next prime is 112942566461. The reversal of 112942566432 is 234665249211.

112942566432 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 42 + 566 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713473 + ... + 857279.

It is an arithmetic number, because the mean of its divisors is an integer number (2335945248).

Almost surely, 2^112942566432 is an apocalyptic number.

112942566432 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 112942566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168188057856).

112942566432 is an abundant number, since it is smaller than the sum of its proper divisors (223433549280).

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

112942566432 is a wasteful number, since it uses less digits than its factorization.

112942566432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143933 (or 143913 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 112942566432 in words is "one hundred twelve billion, nine hundred forty-two million, five hundred sixty-six thousand, four hundred thirty-two".