45292956984 has 96 divisors (see below), whose sum is σ = 133896147840. Its totient is φ = 13717339200.

The previous prime is 45292956971. The next prime is 45292957009. The reversal of 45292956984 is 48965929254.

45292956984 is a `hidden beast` number, since 4 + 529 + 29 + 5 + 6 + 9 + 84 = 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 23 ways as a sum of consecutive naturals, for example, 1463349 + ... + 1493979.

It is an arithmetic number, because the mean of its divisors is an integer number (1394751540).

Almost surely, 2^45292956984 is an apocalyptic number.

45292956984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45292956984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66948073920).

45292956984 is an abundant number, since it is smaller than the sum of its proper divisors (88603190856).

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

45292956984 is a wasteful number, since it uses less digits than its factorization.

45292956984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32521 (or 32514 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 45292956984 in words is "forty-five billion, two hundred ninety-two million, nine hundred fifty-six thousand, nine hundred eighty-four".