13829329716319 has 24 divisors (see below), whose sum is σ = 15019915448832. Its totient is φ = 12727257697440.

The previous prime is 13829329716289. The next prime is 13829329716343. The reversal of 13829329716319 is 91361792392831.

It is a de Polignac number, because none of the positive numbers 2^k-13829329716319 is a prime.

It is a super-2 number, since 2×13829329716319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829329716379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87409054 + ... + 87567124.

It is an arithmetic number, because the mean of its divisors is an integer number (625829810368).

Almost surely, 2^{13829329716319} is an apocalyptic number.

13829329716319 is a deficient number, since it is larger than the sum of its proper divisors (1190585732513).

13829329716319 is a wasteful number, since it uses less digits than its factorization.

13829329716319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159647 (or 159634 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 64.

The spelling of 13829329716319 in words is "thirteen trillion, eight hundred twenty-nine billion, three hundred twenty-nine million, seven hundred sixteen thousand, three hundred nineteen".