13398476580944 has 320 divisors, whose sum is σ = 34026894139392. Its totient is φ = 4959702835200.

The previous prime is 13398476580883. The next prime is 13398476580967. The reversal of 13398476580944 is 44908567489331.

It is a super-2 number, since 2×13398476580944² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3275108339 + ... + 3275112429.

Almost surely, 2^{13398476580944} is an apocalyptic number.

13398476580944 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 13398476580944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013447069696).

13398476580944 is an abundant number, since it is smaller than the sum of its proper divisors (20628417558448).

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

13398476580944 is a wasteful number, since it uses less digits than its factorization.

13398476580944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 71.

The spelling of 13398476580944 in words is "thirteen trillion, three hundred ninety-eight billion, four hundred seventy-six million, five hundred eighty thousand, nine hundred forty-four".