13713813504 has 312 divisors, whose sum is σ = 42627274560. Its totient is φ = 4232577024.

The previous prime is 13713813499. The next prime is 13713813517. The reversal of 13713813504 is 40531831731.

13713813504 is a `hidden beast` number, since 1 + 3 + 7 + 138 + 13 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49508214 + ... + 49508490.

It is an arithmetic number, because the mean of its divisors is an integer number (136625880).

Almost surely, 2^13713813504 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 13713813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21313637280).

13713813504 is an abundant number, since it is smaller than the sum of its proper divisors (28913461056).

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

13713813504 is a wasteful number, since it uses less digits than its factorization.

13713813504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13713813504 in words is "thirteen billion, seven hundred thirteen million, eight hundred thirteen thousand, five hundred four".