13448113212768 has 576 divisors, whose sum is σ = 41671295447040. Its totient is φ = 3771393343488.

The previous prime is 13448113212763. The next prime is 13448113212773. The reversal of 13448113212768 is 86721231184431.

It is an interprime number because it is at equal distance from previous prime (13448113212763) and next prime (13448113212773).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 13448113212768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13448113212763) 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 95 ways as a sum of consecutive naturals, for example, 2975902413 + ... + 2975906931.

It is an arithmetic number, because the mean of its divisors is an integer number (72345999040).

Almost surely, 2^{13448113212768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13448113212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835647723520).

13448113212768 is an abundant number, since it is smaller than the sum of its proper divisors (28223182234272).

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

13448113212768 is a wasteful number, since it uses less digits than its factorization.

13448113212768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4814 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The spelling of 13448113212768 in words is "thirteen trillion, four hundred forty-eight billion, one hundred thirteen million, two hundred twelve thousand, seven hundred sixty-eight".