18806724035584 has 99 divisors (see below), whose sum is σ = 38332798412727. Its totient is φ = 9222331981824.

The previous prime is 18806724035557. The next prime is 18806724035609. The reversal of 18806724035584 is 48553042760881.

The square root of 18806724035584 is 4336672.

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

It can be written as a sum of positive squares in 4 ways, for example, as 463662941184 + 18343061094400 = 680928^2 + 4282880^2 .

It is a super-2 number, since 2×18806724035584² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7354994434 + ... + 7354996990.

Almost surely, 2^{18806724035584} is an apocalyptic number.

18806724035584 is the 4336672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18806724035584

18806724035584 is an abundant number, since it is smaller than the sum of its proper divisors (19526074377143).

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

18806724035584 is an frugal number, since it uses more digits than its factorization.

18806724035584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 61.

The spelling of 18806724035584 in words is "eighteen trillion, eight hundred six billion, seven hundred twenty-four million, thirty-five thousand, five hundred eighty-four".