45645467904 has 81 divisors (see below), whose sum is σ = 131636711479. Its totient is φ = 15211737600.

The previous prime is 45645467869. The next prime is 45645467909. The reversal of 45645467904 is 40976454654.

The square root of 45645467904 is 213648.

It is a perfect power (a square), and thus also a powerful number.

45645467904 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 546 + 7 + 90 + 4 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45645467909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10252879 + ... + 10257329.

Almost surely, 2^45645467904 is an apocalyptic number.

45645467904 is the 213648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45645467904

45645467904 is an abundant number, since it is smaller than the sum of its proper divisors (85991243575).

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

45645467904 is an frugal number, since it uses more digits than its factorization.

45645467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8924 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 45645467904 in words is "forty-five billion, six hundred forty-five million, four hundred sixty-seven thousand, nine hundred four".