92892376139472 has 1200 divisors, whose sum is σ = 342125254998912. Its totient is φ = 23683727738880.

The previous prime is 92892376139447. The next prime is 92892376139477. The reversal of 92892376139472 is 27493167329829.

92892376139472 is a `hidden beast` number, since 9 + 2 + 8 + 92 + 3 + 7 + 61 + 3 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 92892376139472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92892376139477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 211599945429 + ... + 211599945867.

Almost surely, 2^{92892376139472} 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 92892376139472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171062627499456).

92892376139472 is an abundant number, since it is smaller than the sum of its proper divisors (249232878859440).

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

92892376139472 is a wasteful number, since it uses less digits than its factorization.

92892376139472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 592 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 92892376139472 in words is "ninety-two trillion, eight hundred ninety-two billion, three hundred seventy-six million, one hundred thirty-nine thousand, four hundred seventy-two".