45056160 has 144 divisors (see below), whose sum is σ = 156383136. Its totient is φ = 11810304.

The previous prime is 45056159. The next prime is 45056173. The reversal of 45056160 is 6165054.

It is a happy number.

45056160 is a `hidden beast` number, since 45 + 0 + 5 + 616 + 0 = 666.

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, 96247 + ... + 96713.

It is an arithmetic number, because the mean of its divisors is an integer number (1085994).

Almost surely, 2^45056160 is an apocalyptic number.

45056160 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 45056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78191568).

45056160 is an abundant number, since it is smaller than the sum of its proper divisors (111326976).

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

45056160 is a wasteful number, since it uses less digits than its factorization.

45056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45056160 is about 6712.3885465608. The cubic root of 45056160 is about 355.8372356989.

The spelling of 45056160 in words is "forty-five million, fifty-six thousand, one hundred sixty".