92022016464 has 960 divisors, whose sum is σ = 343443732480. Its totient is φ = 23410114560.

The previous prime is 92022016459. The next prime is 92022016477. The reversal of 92022016464 is 46461022029.

92022016464 is a `hidden beast` number, since 9 + 2 + 0 + 2 + 2 + 0 + 1 + 646 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 814354072 + ... + 814354184.

It is an arithmetic number, because the mean of its divisors is an integer number (357753888).

Almost surely, 2^92022016464 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 92022016464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171721866240).

92022016464 is an abundant number, since it is smaller than the sum of its proper divisors (251421716016).

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

92022016464 is a wasteful number, since it uses less digits than its factorization.

92022016464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 92022016464 in words is "ninety-two billion, twenty-two million, sixteen thousand, four hundred sixty-four".