45116924832 has 480 divisors, whose sum is σ = 159826867200. Its totient is φ = 12467105280.

The previous prime is 45116924813. The next prime is 45116924843. The reversal of 45116924832 is 23842961154.

45116924832 is a `hidden beast` number, since 4 + 5 + 1 + 169 + 2 + 483 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27559918 + ... + 27561554.

It is an arithmetic number, because the mean of its divisors is an integer number (332972640).

Almost surely, 2^45116924832 is an apocalyptic number.

45116924832 is a gapful number since it is divisible by the number (42) 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 45116924832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79913433600).

45116924832 is an abundant number, since it is smaller than the sum of its proper divisors (114709942368).

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

45116924832 is a wasteful number, since it uses less digits than its factorization.

45116924832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1680 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 45116924832 in words is "forty-five billion, one hundred sixteen million, nine hundred twenty-four thousand, eight hundred thirty-two".