112767012864 has 585 divisors, whose sum is σ = 377394255469. Its totient is φ = 33527070720.

The previous prime is 112767012797. The next prime is 112767012881. The reversal of 112767012864 is 468210767211.

The square root of 112767012864 is 335808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 81293414400 + 31473598464 = 285120^2 + 177408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2127679462 + ... + 2127679514.

Almost surely, 2^112767012864 is an apocalyptic number.

112767012864 is the 335808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112767012864

112767012864 is an abundant number, since it is smaller than the sum of its proper divisors (264627242605).

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

112767012864 is an frugal number, since it uses more digits than its factorization.

112767012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 112767012864 in words is "one hundred twelve billion, seven hundred sixty-seven million, twelve thousand, eight hundred sixty-four".