13682460438361 has 27 divisors (see below), whose sum is σ = 16285895609823. Its totient is φ = 11481341105520.

The previous prime is 13682460438359. The next prime is 13682460438373. The reversal of 13682460438361 is 16383406428631.

It is a happy number.

The square root of 13682460438361 is 3698981.

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., 2024032609225 + 11658427829136 = 1422685^2 + 3414444^2 .

It is not a de Polignac number, because 13682460438361 - 2¹ = 13682460438359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13682460438341) 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, 528941350 + ... + 528967216.

Almost surely, 2^{13682460438361} is an apocalyptic number.

13682460438361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13682460438361 is the 3698981-st square number.

13682460438361 is the 1849491-st centered octagonal number.

It is an amenable number.

13682460438361 is a deficient number, since it is larger than the sum of its proper divisors (2603435171462).

13682460438361 is an frugal number, since it uses more digits than its factorization.

13682460438361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51782 (or 25891 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 13682460438361 in words is "thirteen trillion, six hundred eighty-two billion, four hundred sixty million, four hundred thirty-eight thousand, three hundred sixty-one".