92133313113312 has 72 divisors (see below), whose sum is σ = 262025185856616. Its totient is φ = 30708633843456.

The previous prime is 92133313113301. The next prime is 92133313113323. The reversal of 92133313113312 is 21331131333129.

92133313113312 is a `hidden beast` number, since 9 + 2 + 1 + 3 + 3 + 3 + 1 + 311 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (92133313113301) and next prime (92133313113323).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9279258 + ... + 16442969.

It is an arithmetic number, because the mean of its divisors is an integer number (3639238692453).

Almost surely, 2^{92133313113312} is an apocalyptic number.

It is an amenable number.

92133313113312 is an abundant number, since it is smaller than the sum of its proper divisors (169891872743304).

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

92133313113312 is a wasteful number, since it uses less digits than its factorization.

92133313113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25734680 (or 25734669 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The spelling of 92133313113312 in words is "ninety-two trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred thirteen thousand, three hundred twelve".