45318449664 has 240 divisors, whose sum is σ = 134704081512. Its totient is φ = 14660665344.

The previous prime is 45318449647. The next prime is 45318449707. The reversal of 45318449664 is 46694481354.

45318449664 is a `hidden beast` number, since 4 + 531 + 8 + 4 + 49 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44910086400 + 408363264 = 211920^2 + 20208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45318449664.

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, 23688772 + ... + 23690684.

Almost surely, 2^45318449664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45318449664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67352040756).

45318449664 is an abundant number, since it is smaller than the sum of its proper divisors (89385631848).

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

45318449664 is a wasteful number, since it uses less digits than its factorization.

45318449664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2068 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 45318449664 in words is "forty-five billion, three hundred eighteen million, four hundred forty-nine thousand, six hundred sixty-four".