13712282683728 has 80 divisors (see below), whose sum is σ = 35845518954240. Its totient is φ = 4516362661888.

The previous prime is 13712282683717. The next prime is 13712282683739. The reversal of 13712282683728 is 82738628221731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13712282683717) and next prime (13712282683739).

It is a congruent 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, 5273176 + ... + 7431752.

It is an arithmetic number, because the mean of its divisors is an integer number (448068986928).

Almost surely, 2^{13712282683728} 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 13712282683728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922759477120).

13712282683728 is an abundant number, since it is smaller than the sum of its proper divisors (22133236270512).

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

13712282683728 is a wasteful number, since it uses less digits than its factorization.

13712282683728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160164 (or 2160158 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 60.

The spelling of 13712282683728 in words is "thirteen trillion, seven hundred twelve billion, two hundred eighty-two million, six hundred eighty-three thousand, seven hundred twenty-eight".