13682238500401 has 9 divisors (see below), whose sum is σ = 14137957020459. Its totient is φ = 13240764999600.

The previous prime is 13682238500363. The next prime is 13682238500407. The reversal of 13682238500401 is 10400583228631.

The square root of 13682238500401 is 3698951.

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., 12028751126001 + 1653487374400 = 3468249^2 + 1285880^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13682238500401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13682238500407) 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, 114607821 + ... + 114727141.

Almost surely, 2^{13682238500401} is an apocalyptic number.

13682238500401 is the 3698951-st square number.

13682238500401 is the 1849476-th centered octagonal number.

It is an amenable number.

13682238500401 is a deficient number, since it is larger than the sum of its proper divisors (455718520058).

13682238500401 is an frugal number, since it uses more digits than its factorization.

13682238500401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238704 (or 119352 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 13682238500401 in words is "thirteen trillion, six hundred eighty-two billion, two hundred thirty-eight million, five hundred thousand, four hundred one".