13968469458816 has 128 divisors (see below), whose sum is σ = 39472515336960. Its totient is φ = 4361495470080.

The previous prime is 13968469458751. The next prime is 13968469458899. The reversal of 13968469458816 is 61885496486931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3693156 + ... + 6447971.

It is an arithmetic number, because the mean of its divisors is an integer number (308379026070).

Almost surely, 2^{13968469458816} is an apocalyptic number.

13968469458816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13968469458816 is an abundant number, since it is smaller than the sum of its proper divisors (25504045878144).

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

13968469458816 is a wasteful number, since it uses less digits than its factorization.

13968469458816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141372 (or 10141360 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 78.

The spelling of 13968469458816 in words is "thirteen trillion, nine hundred sixty-eight billion, four hundred sixty-nine million, four hundred fifty-eight thousand, eight hundred sixteen".