13938468016968 has 128 divisors (see below), whose sum is σ = 42930204969600. Its totient is φ = 4154535878400.

The previous prime is 13938468016961. The next prime is 13938468016973. The reversal of 13938468016968 is 86961086483931.

13938468016968 is a `hidden beast` number, since 1 + 3 + 9 + 384 + 6 + 80 + 169 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13938468016896 and 13938468016905.

It is not an unprimeable number, because it can be changed into a prime (13938468016961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47939971 + ... + 48229842.

It is an arithmetic number, because the mean of its divisors is an integer number (335392226325).

Almost surely, 2^{13938468016968} is an apocalyptic number.

13938468016968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13938468016968 is an abundant number, since it is smaller than the sum of its proper divisors (28991736952632).

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

13938468016968 is a wasteful number, since it uses less digits than its factorization.

13938468016968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96169900 (or 96169890 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 13938468016968 in words is "thirteen trillion, nine hundred thirty-eight billion, four hundred sixty-eight million, sixteen thousand, nine hundred sixty-eight".