45364673664 has 48 divisors (see below), whose sum is σ = 130541577270. Its totient is φ = 15121557504.

The previous prime is 45364673663. The next prime is 45364673671. The reversal of 45364673664 is 46637646354.

45364673664 is a `hidden beast` number, since 4 + 536 + 46 + 7 + 3 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39156494400 + 6208179264 = 197880^2 + 78792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45364673664.

It is not an unprimeable number, because it can be changed into a prime (45364673663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19688377 + ... + 19690680.

Almost surely, 2^45364673664 is an apocalyptic number.

It is an amenable number.

45364673664 is an abundant number, since it is smaller than the sum of its proper divisors (85176903606).

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

45364673664 is a wasteful number, since it uses less digits than its factorization.

45364673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39379077 (or 39379062 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 45364673664 in words is "forty-five billion, three hundred sixty-four million, six hundred seventy-three thousand, six hundred sixty-four".