92414382720 has 1536 divisors, whose sum is σ = 386804367360. Its totient is φ = 18490982400.

The previous prime is 92414382707. The next prime is 92414382733. The reversal of 92414382720 is 2728341429.

It is an interprime number because it is at equal distance from previous prime (92414382707) and next prime (92414382733).

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 191 ways as a sum of consecutive naturals, for example, 2981109105 + ... + 2981109135.

It is an arithmetic number, because the mean of its divisors is an integer number (251825760).

Almost surely, 2^92414382720 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 92414382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193402183680).

92414382720 is an abundant number, since it is smaller than the sum of its proper divisors (294389984640).

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

92414382720 is a wasteful number, since it uses less digits than its factorization.

92414382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 92414382720 in words is "ninety-two billion, four hundred fourteen million, three hundred eighty-two thousand, seven hundred twenty".