13348595666329 has 81 divisors (see below), whose sum is σ = 17850921939669. Its totient is φ = 9944441134320.

The previous prime is 13348595666279. The next prime is 13348595666347. The reversal of 13348595666329 is 92366659584331.

The square root of 13348595666329 is 3653573.

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

It is not a de Polignac number, because 13348595666329 - 2¹¹ = 13348595664281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13348595666629) 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 80 ways as a sum of consecutive naturals, for example, 6470476752 + ... + 6470478814.

Almost surely, 2^{13348595666329} is an apocalyptic number.

13348595666329 is the 3653573-rd square number.

13348595666329 is the 1826787-th centered octagonal number.

It is an amenable number.

13348595666329 is a deficient number, since it is larger than the sum of its proper divisors (4502326273340).

13348595666329 is an frugal number, since it uses more digits than its factorization.

13348595666329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 2104 counting only the distinct ones).

The product of its digits is 755827200, while the sum is 70.

The spelling of 13348595666329 in words is "thirteen trillion, three hundred forty-eight billion, five hundred ninety-five million, six hundred sixty-six thousand, three hundred twenty-nine".