13988932803264 has 336 divisors, whose sum is σ = 40736686603680. Its totient is φ = 4230762332160.

The previous prime is 13988932803227. The next prime is 13988932803269. The reversal of 13988932803264 is 46230823988931.

13988932803264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13988932803195 and 13988932803204.

It is not an unprimeable number, because it can be changed into a prime (13988932803269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089389484 + ... + 1089402324.

Almost surely, 2^{13988932803264} 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 13988932803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20368343301840).

13988932803264 is an abundant number, since it is smaller than the sum of its proper divisors (26747753800416).

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

13988932803264 is a wasteful number, since it uses less digits than its factorization.

13988932803264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13596 (or 13569 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 13988932803264 in words is "thirteen trillion, nine hundred eighty-eight billion, nine hundred thirty-two million, eight hundred three thousand, two hundred sixty-four".