45923086944 has 576 divisors, whose sum is σ = 168552921600. Its totient is φ = 12086516736.

The previous prime is 45923086933. The next prime is 45923087009. The reversal of 45923086944 is 44968032954.

45923086944 is a `hidden beast` number, since 4 + 592 + 3 + 0 + 8 + 6 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29761437 + ... + 29762979.

It is an arithmetic number, because the mean of its divisors is an integer number (292626600).

Almost surely, 2^45923086944 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 45923086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84276460800).

45923086944 is an abundant number, since it is smaller than the sum of its proper divisors (122629834656).

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

45923086944 is a wasteful number, since it uses less digits than its factorization.

45923086944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 45923086944 in words is "forty-five billion, nine hundred twenty-three million, eighty-six thousand, nine hundred forty-four".