45648464 has 20 divisors (see below), whose sum is σ = 88560180. Its totient is φ = 22794240.

The previous prime is 45648397. The next prime is 45648479. The reversal of 45648464 is 46484654.

It can be written as a sum of positive squares in 2 ways, for example, as 13249600 + 32398864 = 3640^2 + 5692^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15632 + ... + 18320.

It is an arithmetic number, because the mean of its divisors is an integer number (4428009).

Almost surely, 2^45648464 is an apocalyptic number.

It is an amenable number.

45648464 is a deficient number, since it is larger than the sum of its proper divisors (42911716).

45648464 is a wasteful number, since it uses less digits than its factorization.

45648464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3752 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The square root of 45648464 is about 6756.3647030041. The cubic root of 45648464 is about 357.3897200070.

The spelling of 45648464 in words is "forty-five million, six hundred forty-eight thousand, four hundred sixty-four".