92249622144 has 480 divisors, whose sum is σ = 289207617600. Its totient is φ = 29178040320.

The previous prime is 92249622139. The next prime is 92249622247. The reversal of 92249622144 is 44122694229.

It is a happy number.

92249622144 is a `hidden beast` number, since 9 + 2 + 2 + 4 + 9 + 622 + 14 + 4 = 666.

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

Its product of digits (497664) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 92249622144.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1167716697 + ... + 1167716775.

It is an arithmetic number, because the mean of its divisors is an integer number (602515870).

Almost surely, 2^92249622144 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 92249622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144603808800).

92249622144 is an abundant number, since it is smaller than the sum of its proper divisors (196957995456).

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

92249622144 is an equidigital number, since it uses as much as digits as its factorization.

92249622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 192 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 92249622144 in words is "ninety-two billion, two hundred forty-nine million, six hundred twenty-two thousand, one hundred forty-four".