13739694024288 has 384 divisors, whose sum is σ = 40454888140800. Its totient is φ = 4063044851712.

The previous prime is 13739694024281. The next prime is 13739694024313. The reversal of 13739694024288 is 88242049693731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13739694024281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458142798 + ... + 458172786.

It is an arithmetic number, because the mean of its divisors is an integer number (105351271200).

Almost surely, 2^{13739694024288} 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 13739694024288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20227444070400).

13739694024288 is an abundant number, since it is smaller than the sum of its proper divisors (26715194116512).

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

13739694024288 is a wasteful number, since it uses less digits than its factorization.

13739694024288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30274 (or 30266 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 13739694024288 in words is "thirteen trillion, seven hundred thirty-nine billion, six hundred ninety-four million, twenty-four thousand, two hundred eighty-eight".