13144315453344 has 120 divisors (see below), whose sum is σ = 38673198748800. Its totient is φ = 4379610052224.

The previous prime is 13144315453337. The next prime is 13144315453369. The reversal of 13144315453344 is 44335451344131.

13144315453344 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 31 + 545 + 33 + 44 = 666.

13144315453344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13144315453344.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5161287 + ... + 7275129.

It is an arithmetic number, because the mean of its divisors is an integer number (322276656240).

Almost surely, 2^{13144315453344} 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 13144315453344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336599374400).

13144315453344 is an abundant number, since it is smaller than the sum of its proper divisors (25528883295456).

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

13144315453344 is a wasteful number, since it uses less digits than its factorization.

13144315453344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116264 (or 2116247 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

Adding to 13144315453344 its reverse (44335451344131), we get a palindrome (57479766797475).

The spelling of 13144315453344 in words is "thirteen trillion, one hundred forty-four billion, three hundred fifteen million, four hundred fifty-three thousand, three hundred forty-four".