45017732016 has 160 divisors (see below), whose sum is σ = 131358417920. Its totient is φ = 14758039296.

The previous prime is 45017732009. The next prime is 45017732021. The reversal of 45017732016 is 61023771054.

It is a happy number.

45017732016 is a `hidden beast` number, since 450 + 177 + 3 + 20 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31635081 + ... + 31636503.

It is an arithmetic number, because the mean of its divisors is an integer number (820990112).

Almost surely, 2^45017732016 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 45017732016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65679208960).

45017732016 is an abundant number, since it is smaller than the sum of its proper divisors (86340685904).

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

45017732016 is a wasteful number, since it uses less digits than its factorization.

45017732016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 45017732016 in words is "forty-five billion, seventeen million, seven hundred thirty-two thousand, sixteen".