13144535521344 has 84 divisors (see below), whose sum is σ = 37750459101420. Its totient is φ = 4372903664640.

The previous prime is 13144535521343. The next prime is 13144535521357. The reversal of 13144535521344 is 44312553544131.

13144535521344 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 53 + 552 + 1 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7779011871744 + 5365523649600 = 2789088^2 + 2316360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13144535521344.

It is not an unprimeable number, because it can be changed into a prime (13144535521343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22123687 + ... + 22710054.

Almost surely, 2^{13144535521344} is an apocalyptic number.

It is an amenable number.

13144535521344 is an abundant number, since it is smaller than the sum of its proper divisors (24605923580076).

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

13144535521344 is a wasteful number, since it uses less digits than its factorization.

13144535521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44834268 (or 44834255 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 13144535521344 in words is "thirteen trillion, one hundred forty-four billion, five hundred thirty-five million, five hundred twenty-one thousand, three hundred forty-four".