13683618529 has 27 divisors (see below), whose sum is σ = 16926310227. Its totient is φ = 11027655744.

The previous prime is 13683618527. The next prime is 13683618577. The reversal of 13683618529 is 92581638631.

The square root of 13683618529 is 116977.

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., 10653336225 + 3030282304 = 103215^2 + 55048^2 .

It is not a de Polignac number, because 13683618529 - 2¹ = 13683618527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13683618521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13919772 + ... + 13920754.

Almost surely, 2^13683618529 is an apocalyptic number.

13683618529 is the 116977-th square number.

13683618529 is the 58489-th centered octagonal number.

It is an amenable number.

13683618529 is a deficient number, since it is larger than the sum of its proper divisors (3242691698).

13683618529 is an frugal number, since it uses more digits than its factorization.

13683618529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1007 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The spelling of 13683618529 in words is "thirteen billion, six hundred eighty-three million, six hundred eighteen thousand, five hundred twenty-nine".