92124605664 has 768 divisors, whose sum is σ = 352777420800. Its totient is φ = 22709901312.

The previous prime is 92124605611. The next prime is 92124605693. The reversal of 92124605664 is 46650642129.

92124605664 is a `hidden beast` number, since 9 + 2 + 1 + 24 + 60 + 566 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 123989677 + ... + 123990419.

It is an arithmetic number, because the mean of its divisors is an integer number (459345600).

Almost surely, 2^92124605664 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 92124605664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176388710400).

92124605664 is an abundant number, since it is smaller than the sum of its proper divisors (260652815136).

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

92124605664 is a wasteful number, since it uses less digits than its factorization.

92124605664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 92124605664 in words is "ninety-two billion, one hundred twenty-four million, six hundred five thousand, six hundred sixty-four".