13684329296 has 80 divisors (see below), whose sum is σ = 30201906240. Its totient is φ = 5949296640.

The previous prime is 13684329277. The next prime is 13684329313. The reversal of 13684329296 is 69292348631.

13684329296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533600 + ... + 558656.

It is an arithmetic number, because the mean of its divisors is an integer number (377523828).

Almost surely, 2^13684329296 is an apocalyptic number.

13684329296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13684329296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100953120).

13684329296 is an abundant number, since it is smaller than the sum of its proper divisors (16517576944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13684329296 is a wasteful number, since it uses less digits than its factorization.

13684329296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25212 (or 25206 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 53.

The spelling of 13684329296 in words is "thirteen billion, six hundred eighty-four million, three hundred twenty-nine thousand, two hundred ninety-six".