13829308416 has 768 divisors, whose sum is σ = 53791128000. Its totient is φ = 3468165120.

The previous prime is 13829308399. The next prime is 13829308433. The reversal of 13829308416 is 61480392831.

It is an interprime number because it is at equal distance from previous prime (13829308399) and next prime (13829308433).

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476872690 + ... + 476872718.

Almost surely, 2^13829308416 is an apocalyptic number.

13829308416 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 13829308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26895564000).

13829308416 is an abundant number, since it is smaller than the sum of its proper divisors (39961819584).

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

13829308416 is an equidigital number, since it uses as much as digits as its factorization.

13829308416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13829308416 in words is "thirteen billion, eight hundred twenty-nine million, three hundred eight thousand, four hundred sixteen".