90992472795648 has 1920 divisors, whose sum is σ = 317117646743040. Its totient is φ = 25603976724480.

The previous prime is 90992472795643. The next prime is 90992472795751. The reversal of 90992472795648 is 84659727429909.

90992472795648 is a `hidden beast` number, since 9 + 0 + 9 + 9 + 2 + 47 + 2 + 7 + 9 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (90992472795643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168193110258 + ... + 168193110798.

It is an arithmetic number, because the mean of its divisors is an integer number (165165441012).

Almost surely, 2^{90992472795648} 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 90992472795648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558823371520).

90992472795648 is an abundant number, since it is smaller than the sum of its proper divisors (226125173947392).

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

90992472795648 is a wasteful number, since it uses less digits than its factorization.

90992472795648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 90992472795648 in words is "ninety trillion, nine hundred ninety-two billion, four hundred seventy-two million, seven hundred ninety-five thousand, six hundred forty-eight".