13388571074528 has 144 divisors (see below), whose sum is σ = 30723317755200. Its totient is φ = 5706114146304.

The previous prime is 13388571074507. The next prime is 13388571074539. The reversal of 13388571074528 is 82547017588331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5321273 + ... + 7422471.

It is an arithmetic number, because the mean of its divisors is an integer number (213356373300).

Almost surely, 2^{13388571074528} 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 13388571074528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361658877600).

13388571074528 is an abundant number, since it is smaller than the sum of its proper divisors (17334746680672).

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

13388571074528 is a wasteful number, since it uses less digits than its factorization.

13388571074528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101309 (or 2101284 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 62.

The spelling of 13388571074528 in words is "thirteen trillion, three hundred eighty-eight billion, five hundred seventy-one million, seventy-four thousand, five hundred twenty-eight".