13859411089329 has 135 divisors (see below), whose sum is σ = 22939678546257. Its totient is φ = 8335073088576.

The previous prime is 13859411089301. The next prime is 13859411089421. The reversal of 13859411089329 is 92398011495831.

The square root of 13859411089329 is 3722823.

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

13859411089329 is a `hidden beast` number, since 1 + 3 + 8 + 594 + 1 + 1 + 0 + 8 + 9 + 32 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1354134850929 + 12505276238400 = 1163673^2 + 3536280^2 .

It is not a de Polignac number, because 13859411089329 - 2³⁵ = 13825051350961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13859411089129) 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 134 ways as a sum of consecutive naturals, for example, 20471803339 + ... + 20471804015.

Almost surely, 2^{13859411089329} is an apocalyptic number.

13859411089329 is the 3722823-rd square number.

13859411089329 is the 1861412-nd centered octagonal number.

It is an amenable number.

13859411089329 is a deficient number, since it is larger than the sum of its proper divisors (9080267456928).

13859411089329 is an frugal number, since it uses more digits than its factorization.

13859411089329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 13859411089329 in words is "thirteen trillion, eight hundred fifty-nine billion, four hundred eleven million, eighty-nine thousand, three hundred twenty-nine".