45420032160 has 144 divisors (see below), whose sum is σ = 156737828520. Its totient is φ = 11975884800.

The previous prime is 45420032159. The next prime is 45420032237. The reversal of 45420032160 is 6123002454.

45420032160 is a `hidden beast` number, since 454 + 20 + 0 + 32 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14264958096 + 31155074064 = 119436^2 + 176508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49041 + ... + 305360.

Almost surely, 2^45420032160 is an apocalyptic number.

45420032160 is a gapful number since it is divisible by the number (40) 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 45420032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78368914260).

45420032160 is an abundant number, since it is smaller than the sum of its proper divisors (111317796360).

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

45420032160 is a wasteful number, since it uses less digits than its factorization.

45420032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354511 (or 354500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 45420032160 in words is "forty-five billion, four hundred twenty million, thirty-two thousand, one hundred sixty".