13829443968 has 256 divisors, whose sum is σ = 41910739200. Its totient is φ = 4013162496.

The previous prime is 13829443967. The next prime is 13829443993. The reversal of 13829443968 is 86934492831.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829443967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5332080 + ... + 5334672.

It is an arithmetic number, because the mean of its divisors is an integer number (163713825).

Almost surely, 2^13829443968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13829443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20955369600).

13829443968 is an abundant number, since it is smaller than the sum of its proper divisors (28081295232).

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

13829443968 is a wasteful number, since it uses less digits than its factorization.

13829443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2677 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 13829443968 in words is "thirteen billion, eight hundred twenty-nine million, four hundred forty-three thousand, nine hundred sixty-eight".