13728014963904 has 112 divisors (see below), whose sum is σ = 37499567083520. Its totient is φ = 4427701125120.

The previous prime is 13728014963869. The next prime is 13728014963987. The reversal of 13728014963904 is 40936941082731.

It is a happy 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, 38683977 + ... + 39037239.

Almost surely, 2^{13728014963904} 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 13728014963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749783541760).

13728014963904 is an abundant number, since it is smaller than the sum of its proper divisors (23771552119616).

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

13728014963904 is a wasteful number, since it uses less digits than its factorization.

13728014963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359838 (or 359828 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 13728014963904 in words is "thirteen trillion, seven hundred twenty-eight billion, fourteen million, nine hundred sixty-three thousand, nine hundred four".