13829598816 has 96 divisors (see below), whose sum is σ = 39625625088. Its totient is φ = 4188387840.

The previous prime is 13829598791. The next prime is 13829598877. The reversal of 13829598816 is 61889592831.

13829598816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13829598816.

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, 2919586 + ... + 2924318.

It is an arithmetic number, because the mean of its divisors is an integer number (412766928).

Almost surely, 2^13829598816 is an apocalyptic number.

13829598816 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 13829598816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812812544).

13829598816 is an abundant number, since it is smaller than the sum of its proper divisors (25796026272).

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

13829598816 is a wasteful number, since it uses less digits than its factorization.

13829598816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7516 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The spelling of 13829598816 in words is "thirteen billion, eight hundred twenty-nine million, five hundred ninety-eight thousand, eight hundred sixteen".