45608300721 has 45 divisors (see below), whose sum is σ = 69444648273. Its totient is φ = 29830200480.

The previous prime is 45608300711. The next prime is 45608300737. The reversal of 45608300721 is 12700380654.

The square root of 45608300721 is 213561.

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

45608300721 is a `hidden beast` number, since 45 + 608 + 3 + 0 + 0 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27188382321 + 18419918400 = 164889^2 + 135720^2 .

It is not a de Polignac number, because 45608300721 - 2⁹ = 45608300209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45608300711) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 117244795 + ... + 117245183.

Almost surely, 2^45608300721 is an apocalyptic number.

45608300721 is the 213561-st square number.

45608300721 is the 106781-st centered octagonal number.

It is an amenable number.

45608300721 is a deficient number, since it is larger than the sum of its proper divisors (23836347552).

45608300721 is an frugal number, since it uses more digits than its factorization.

45608300721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 45608300721 by its sum of digits (36), we get a square (1641898825956 = 1281366²).

The spelling of 45608300721 in words is "forty-five billion, six hundred eight million, three hundred thousand, seven hundred twenty-one".