13721799168 has 400 divisors, whose sum is σ = 51073856064. Its totient is φ = 3563274240.

The previous prime is 13721799023. The next prime is 13721799193. The reversal of 13721799168 is 86199712731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3191196 + ... + 3195492.

Almost surely, 2^13721799168 is an apocalyptic number.

13721799168 is a gapful number since it is divisible by the number (18) 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 13721799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536928032).

13721799168 is an abundant number, since it is smaller than the sum of its proper divisors (37352056896).

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

13721799168 is an equidigital number, since it uses as much as digits as its factorization.

13721799168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4320 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 13721799168 in words is "thirteen billion, seven hundred twenty-one million, seven hundred ninety-nine thousand, one hundred sixty-eight".