13458427856329 has 9 divisors (see below), whose sum is σ = 13519872012909. Its totient is φ = 13397261738700.

The previous prime is 13458427856327. The next prime is 13458427856371. The reversal of 13458427856329 is 92365872485431.

The square root of 13458427856329 is 3668573.

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

It is not a de Polignac number, because 13458427856329 - 2¹ = 13458427856327 is a prime.

It is a super-2 number, since 2×13458427856329² (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 (13458427856327) 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, 818083554 + ... + 818100004.

Almost surely, 2^{13458427856329} is an apocalyptic number.

13458427856329 is the 3668573-rd square number.

13458427856329 is the 1834287-th centered octagonal number.

It is an amenable number.

13458427856329 is a deficient number, since it is larger than the sum of its proper divisors (61444156580).

13458427856329 is an frugal number, since it uses more digits than its factorization.

13458427856329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33348 (or 16674 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 67.

The spelling of 13458427856329 in words is "thirteen trillion, four hundred fifty-eight billion, four hundred twenty-seven million, eight hundred fifty-six thousand, three hundred twenty-nine".