45669540384 has 144 divisors (see below), whose sum is σ = 148090407192. Its totient is φ = 13225549824.

The previous prime is 45669540383. The next prime is 45669540391. The reversal of 45669540384 is 48304596654.

45669540384 is a `hidden beast` number, since 4 + 5 + 6 + 69 + 540 + 38 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31197450384 + 14472090000 = 176628^2 + 120300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45669540384.

It is not an unprimeable number, because it can be changed into a prime (45669540383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295119 + ... + 422414.

Almost surely, 2^45669540384 is an apocalyptic number.

It is an amenable number.

45669540384 is an abundant number, since it is smaller than the sum of its proper divisors (102420866808).

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

45669540384 is a wasteful number, since it uses less digits than its factorization.

45669540384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717579 (or 717568 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 45669540384 in words is "forty-five billion, six hundred sixty-nine million, five hundred forty thousand, three hundred eighty-four".