13443445314144 has 288 divisors, whose sum is σ = 42727199729760. Its totient is φ = 3995565096960.

The previous prime is 13443445314137. The next prime is 13443445314157. The reversal of 13443445314144 is 44141354434431.

It is a happy number.

13443445314144 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 34 + 4 + 531 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13443445314144.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 33381504 + ... + 33781824.

It is an arithmetic number, because the mean of its divisors is an integer number (148358332395).

Almost surely, 2^{13443445314144} 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 13443445314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363599864880).

13443445314144 is an abundant number, since it is smaller than the sum of its proper divisors (29283754415616).

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

13443445314144 is a wasteful number, since it uses less digits than its factorization.

13443445314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400411 (or 400362 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

Adding to 13443445314144 its reverse (44141354434431), we get a palindrome (57584799748575).

The spelling of 13443445314144 in words is "thirteen trillion, four hundred forty-three billion, four hundred forty-five million, three hundred fourteen thousand, one hundred forty-four".