18522685832401 has 9 divisors (see below), whose sum is σ = 18748901033499. Its totient is φ = 18299168031336.

The previous prime is 18522685832393. The next prime is 18522685832407. The reversal of 18522685832401 is 10423858622581.

The square root of 18522685832401 is 4303799.

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., 18062627500225 + 460058332176 = 4250015^2 + 678276^2 .

It is not a de Polignac number, because 18522685832401 - 2³ = 18522685832393 is a prime.

It is a super-2 number, since 2×18522685832401² (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 (18522685832407) 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 8 ways as a sum of consecutive naturals, for example, 357189391 + ... + 357241243.

Almost surely, 2^{18522685832401} is an apocalyptic number.

18522685832401 is the 4303799-th square number.

18522685832401 is the 2151900-th centered octagonal number.

It is an amenable number.

18522685832401 is a deficient number, since it is larger than the sum of its proper divisors (226215201098).

18522685832401 is an frugal number, since it uses more digits than its factorization.

18522685832401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103872 (or 51936 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 55.

The spelling of 18522685832401 in words is "eighteen trillion, five hundred twenty-two billion, six hundred eighty-five million, eight hundred thirty-two thousand, four hundred one".