92404924416 has 750 divisors, whose sum is σ = 333162732210. Its totient is φ = 25491013632.

The previous prime is 92404924411. The next prime is 92404924483. The reversal of 92404924416 is 61442940429.

It can be written as a sum of positive squares in only one way, i.e., 79659417600 + 12745506816 = 282240^2 + 112896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92404924411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3186376690 + ... + 3186376718.

Almost surely, 2^92404924416 is an apocalyptic number.

92404924416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92404924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166581366105).

92404924416 is an abundant number, since it is smaller than the sum of its proper divisors (240757807794).

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

92404924416 is an frugal number, since it uses more digits than its factorization.

92404924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

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

The spelling of 92404924416 in words is "ninety-two billion, four hundred four million, nine hundred twenty-four thousand, four hundred sixteen".