92112463872 has 720 divisors, whose sum is σ = 326604538260. Its totient is φ = 25692733440.

The previous prime is 92112463841. The next prime is 92112463903. The reversal of 92112463872 is 27836421129.

92112463872 is a `hidden beast` number, since 9 + 2 + 1 + 1 + 2 + 4 + 638 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (92112463841) and next prime (92112463903).

It can be written as a sum of positive squares in 2 ways, for example, as 86803301376 + 5309162496 = 294624^2 + 72864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 260941648 + ... + 260942000.

Almost surely, 2^92112463872 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 92112463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163302269130).

92112463872 is an abundant number, since it is smaller than the sum of its proper divisors (234492074388).

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

92112463872 is a wasteful number, since it uses less digits than its factorization.

92112463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 382 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 92112463872 in words is "ninety-two billion, one hundred twelve million, four hundred sixty-three thousand, eight hundred seventy-two".