45644088960 has 384 divisors, whose sum is σ = 160112272320. Its totient is φ = 11980800000.

The previous prime is 45644088863. The next prime is 45644089033. The reversal of 45644088960 is 6988044654.

45644088960 is a `hidden beast` number, since 45 + 64 + 408 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 45644088897 and 45644088906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181848835 + ... + 181849085.

Almost surely, 2^45644088960 is an apocalyptic number.

45644088960 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 45644088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80056136160).

45644088960 is an abundant number, since it is smaller than the sum of its proper divisors (114468183360).

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

45644088960 is a wasteful number, since it uses less digits than its factorization.

45644088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 45644088960 in words is "forty-five billion, six hundred forty-four million, eighty-eight thousand, nine hundred sixty".