18805240923001 has 27 divisors (see below), whose sum is σ = 20616495382479. Its totient is φ = 17145276041712.

The previous prime is 18805240922987. The next prime is 18805240923043. The reversal of 18805240923001 is 10032904250881.

The square root of 18805240923001 is 4336501.

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

It can be written as a sum of positive squares in only one way, i.e., 2781840373225 + 16023400549776 = 1667885^2 + 4002924^2 .

It is a de Polignac number, because none of the positive numbers 2^k-18805240923001 is a prime.

It is a super-2 number, since 2×18805240923001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18805240923101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4679082570 + ... + 4679086588.

Almost surely, 2^{18805240923001} is an apocalyptic number.

18805240923001 is the 4336501-st square number.

18805240923001 is the 2168251-st centered octagonal number.

It is an amenable number.

18805240923001 is a deficient number, since it is larger than the sum of its proper divisors (1811254459478).

18805240923001 is an frugal number, since it uses more digits than its factorization.

18805240923001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 18805240923001 in words is "eighteen trillion, eight hundred five billion, two hundred forty million, nine hundred twenty-three thousand, one".