45648648 has 48 divisors (see below), whose sum is σ = 124020780. Its totient is φ = 15168384.

The previous prime is 45648623. The next prime is 45648719. The reversal of 45648648 is 84684654.

45648648 is a `hidden beast` number, since 4 + 564 + 86 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45400644 + 248004 = 6738^2 + 498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27786 + ... + 29382.

Almost surely, 2^45648648 is an apocalyptic number.

It is an amenable number.

45648648 is an abundant number, since it is smaller than the sum of its proper divisors (78372132).

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

45648648 is a wasteful number, since it uses less digits than its factorization.

45648648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 1999 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 45648648 is about 6756.3783197805. The cubic root of 45648648 is about 357.3902001957.

The spelling of 45648648 in words is "forty-five million, six hundred forty-eight thousand, six hundred forty-eight".