112754045664 has 288 divisors, whose sum is σ = 368479631520. Its totient is φ = 32415842304.

The previous prime is 112754045639. The next prime is 112754045671. The reversal of 112754045664 is 466540457211.

112754045664 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 540 + 45 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5182072 + ... + 5203784.

It is an arithmetic number, because the mean of its divisors is an integer number (1279443165).

Almost surely, 2^112754045664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112754045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184239815760).

112754045664 is an abundant number, since it is smaller than the sum of its proper divisors (255725585856).

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

112754045664 is a wasteful number, since it uses less digits than its factorization.

112754045664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834 (or 21823 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 112754045664 in words is "one hundred twelve billion, seven hundred fifty-four million, forty-five thousand, six hundred sixty-four".