13328569640448 has 160 divisors (see below), whose sum is σ = 40519803873120. Its totient is φ = 4322779176960.

The previous prime is 13328569640447. The next prime is 13328569640483. The reversal of 13328569640448 is 84404696582331.

13328569640448 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 569 + 64 + 0 + 4 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13328569640447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12517723 + ... + 13540698.

It is an arithmetic number, because the mean of its divisors is an integer number (253248774207).

Almost surely, 2^{13328569640448} is an apocalyptic number.

13328569640448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13328569640448 is an abundant number, since it is smaller than the sum of its proper divisors (27191234232672).

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

13328569640448 is an equidigital number, since it uses as much as digits as its factorization.

13328569640448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26058485 (or 26058463 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 13328569640448 in words is "thirteen trillion, three hundred twenty-eight billion, five hundred sixty-nine million, six hundred forty thousand, four hundred forty-eight".