13938084864 has 396 divisors, whose sum is σ = 45868848480. Its totient is φ = 4068556800.

The previous prime is 13938084851. The next prime is 13938084907. The reversal of 13938084864 is 46848083931.

It is a tau number, because it is divible by the number of its divisors (396).

It is a self number, because there is not a number n which added to its sum of digits gives 13938084864.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32338729 + ... + 32339159.

Almost surely, 2^13938084864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13938084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934424240).

13938084864 is an abundant number, since it is smaller than the sum of its proper divisors (31930763616).

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

13938084864 is a wasteful number, since it uses less digits than its factorization.

13938084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13938084864 in words is "thirteen billion, nine hundred thirty-eight million, eighty-four thousand, eight hundred sixty-four".