13717874688 has 192 divisors, whose sum is σ = 41947476480. Its totient is φ = 3905273856.

The previous prime is 13717874627. The next prime is 13717874689. The reversal of 13717874688 is 88647871731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13717874689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20084395 + ... + 20085077.

It is an arithmetic number, because the mean of its divisors is an integer number (218476440).

Almost surely, 2^13717874688 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 13717874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973738240).

13717874688 is an abundant number, since it is smaller than the sum of its proper divisors (28229601792).

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

13717874688 is an equidigital number, since it uses as much as digits as its factorization.

13717874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1162 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 60.

The spelling of 13717874688 in words is "thirteen billion, seven hundred seventeen million, eight hundred seventy-four thousand, six hundred eighty-eight".