13738722014080 has 384 divisors, whose sum is σ = 40506882192000. Its totient is φ = 4430371147776.

The previous prime is 13738722014057. The next prime is 13738722014093. The reversal of 13738722014080 is 8041022783731.

13738722014080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13738722014080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82738819 + ... + 82904701.

It is an arithmetic number, because the mean of its divisors is an integer number (105486672375).

Almost surely, 2^{13738722014080} is an apocalyptic number.

13738722014080 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 13738722014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253441096000).

13738722014080 is an abundant number, since it is smaller than the sum of its proper divisors (26768160177920).

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

13738722014080 is a wasteful number, since it uses less digits than its factorization.

13738722014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166074 (or 166055 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 13738722014080 in words is "thirteen trillion, seven hundred thirty-eight billion, seven hundred twenty-two million, fourteen thousand, eighty".