13320668994048 has 1440 divisors, whose sum is σ = 45811510018560. Its totient is φ = 3709945774080.

The previous prime is 13320668994043. The next prime is 13320668994089. The reversal of 13320668994048 is 84049986602331.

13320668994048 is a `hidden beast` number, since 13 + 3 + 206 + 6 + 8 + 9 + 9 + 404 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (13320668994041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51831396736 + ... + 51831396992.

It is an arithmetic number, because the mean of its divisors is an integer number (31813548624).

Almost surely, 2^{13320668994048} is an apocalyptic number.

13320668994048 is a gapful number since it is divisible by the number (18) 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 13320668994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905755009280).

13320668994048 is an abundant number, since it is smaller than the sum of its proper divisors (32490841024512).

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

13320668994048 is a wasteful number, since it uses less digits than its factorization.

13320668994048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 13320668994048 in words is "thirteen trillion, three hundred twenty billion, six hundred sixty-eight million, nine hundred ninety-four thousand, forty-eight".