13955322816 has 196 divisors, whose sum is σ = 41903154192. Its totient is φ = 4608866304.

The previous prime is 13955322721. The next prime is 13955322833. The reversal of 13955322816 is 61822355931.

13955322816 is a `hidden beast` number, since 1 + 3 + 95 + 532 + 28 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5270805 + ... + 5273451.

Almost surely, 2^13955322816 is an apocalyptic number.

13955322816 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 13955322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951577096).

13955322816 is an abundant number, since it is smaller than the sum of its proper divisors (27947831376).

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

13955322816 is an equidigital number, since it uses as much as digits as its factorization.

13955322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2765 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 13955322816 in words is "thirteen billion, nine hundred fifty-five million, three hundred twenty-two thousand, eight hundred sixteen".