13091448768384 has 256 divisors, whose sum is σ = 41178072384000. Its totient is φ = 3607637090304.

The previous prime is 13091448768383. The next prime is 13091448768397. The reversal of 13091448768384 is 48386784419031.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13091448768383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7626622 + ... + 9184130.

It is an arithmetic number, because the mean of its divisors is an integer number (160851845250).

Almost surely, 2^{13091448768384} is an apocalyptic number.

13091448768384 is a gapful number since it is divisible by the number (14) 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 13091448768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20589036192000).

13091448768384 is an abundant number, since it is smaller than the sum of its proper divisors (28086623615616).

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

13091448768384 is a wasteful number, since it uses less digits than its factorization.

13091448768384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557645 (or 1557633 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 13091448768384 in words is "thirteen trillion, ninety-one billion, four hundred forty-eight million, seven hundred sixty-eight thousand, three hundred eighty-four".