13003840946448 has 1440 divisors, whose sum is σ = 45939059712000. Its totient is φ = 3411312537600.

The previous prime is 13003840946441. The next prime is 13003840946489. The reversal of 13003840946448 is 84464904830031.

13003840946448 is a `hidden beast` number, since 1 + 30 + 0 + 3 + 84 + 0 + 94 + 6 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13003840946394 and 13003840946403.

It is not an unprimeable number, because it can be changed into a prime (13003840946441) 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 287 ways as a sum of consecutive naturals, for example, 21007820283 + ... + 21007820901.

It is an arithmetic number, because the mean of its divisors is an integer number (31902124800).

Almost surely, 2^{13003840946448} is an apocalyptic number.

13003840946448 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 13003840946448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22969529856000).

13003840946448 is an abundant number, since it is smaller than the sum of its proper divisors (32935218765552).

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

13003840946448 is a wasteful number, since it uses less digits than its factorization.

13003840946448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 13003840946448 in words is "thirteen trillion, three billion, eight hundred forty million, nine hundred forty-six thousand, four hundred forty-eight".