13144846669768 has 256 divisors, whose sum is σ = 28484047872000. Its totient is φ = 5632227993600.

The previous prime is 13144846669739. The next prime is 13144846669771. The reversal of 13144846669768 is 86796664844131.

It is a self number, because there is not a number n which added to its sum of digits gives 13144846669768.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16248264948 + ... + 16248265756.

It is an arithmetic number, because the mean of its divisors is an integer number (111265812000).

Almost surely, 2^{13144846669768} 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 13144846669768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242023936000).

13144846669768 is an abundant number, since it is smaller than the sum of its proper divisors (15339201202232).

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

13144846669768 is a wasteful number, since it uses less digits than its factorization.

13144846669768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1712 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 73.

The spelling of 13144846669768 in words is "thirteen trillion, one hundred forty-four billion, eight hundred forty-six million, six hundred sixty-nine thousand, seven hundred sixty-eight".