45159932160 has 1152 divisors, whose sum is σ = 195321369600. Its totient is φ = 9661317120.

The previous prime is 45159932143. The next prime is 45159932171. The reversal of 45159932160 is 6123995154.

45159932160 is a `hidden beast` number, since 4 + 51 + 599 + 3 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287642802 + ... + 287642958.

It is an arithmetic number, because the mean of its divisors is an integer number (169549800).

Almost surely, 2^45159932160 is an apocalyptic number.

45159932160 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 45159932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97660684800).

45159932160 is an abundant number, since it is smaller than the sum of its proper divisors (150161437440).

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

45159932160 is a wasteful number, since it uses less digits than its factorization.

45159932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 45159932160 in words is "forty-five billion, one hundred fifty-nine million, nine hundred thirty-two thousand, one hundred sixty".