45807732595881 has 81 divisors (see below), whose sum is σ = 70705481762461. Its totient is φ = 28575524463024.

The previous prime is 45807732595873. The next prime is 45807732595901. The reversal of 45807732595881 is 18859523770854.

The square root of 45807732595881 is 6768141.

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

45807732595881 is a `hidden beast` number, since 4 + 5 + 8 + 0 + 7 + 7 + 32 + 5 + 9 + 588 + 1 = 666.

It is not a de Polignac number, because 45807732595881 - 2³ = 45807732595873 is a prime.

It is a super-2 number, since 2×45807732595881² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45807732595841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21949080220 + ... + 21949082306.

Almost surely, 2^{45807732595881} is an apocalyptic number.

45807732595881 is the 6768141-st square number.

45807732595881 is the 3384071-st centered octagonal number.

It is an amenable number.

45807732595881 is a deficient number, since it is larger than the sum of its proper divisors (24897749166580).

45807732595881 is an frugal number, since it uses more digits than its factorization.

45807732595881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 45807732595881 in words is "forty-five trillion, eight hundred seven billion, seven hundred thirty-two million, five hundred ninety-five thousand, eight hundred eighty-one".