13717412684160 has 1024 divisors, whose sum is σ = 50579267788800. Its totient is φ = 3139184885760.

The previous prime is 13717412684117. The next prime is 13717412684161. The reversal of 13717412684160 is 6148621471731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13717412684161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3710415432 + ... + 3710419128.

It is an arithmetic number, because the mean of its divisors is an integer number (49393816200).

Almost surely, 2^{13717412684160} is an apocalyptic number.

13717412684160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13717412684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25289633894400).

13717412684160 is an abundant number, since it is smaller than the sum of its proper divisors (36861855104640).

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

13717412684160 is a wasteful number, since it uses less digits than its factorization.

13717412684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 13717412684160 in words is "thirteen trillion, seven hundred seventeen billion, four hundred twelve million, six hundred eighty-four thousand, one hundred sixty".