13144467818304 has 504 divisors, whose sum is σ = 41387567359320. Its totient is φ = 3974619070464.

The previous prime is 13144467818299. The next prime is 13144467818311. The reversal of 13144467818304 is 40381876444131.

13144467818304 is a `hidden beast` number, since 1 + 3 + 14 + 446 + 7 + 8 + 183 + 0 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 318041858304 + 12826425960000 = 563952^2 + 3581400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6662172262 + ... + 6662174234.

It is an arithmetic number, because the mean of its divisors is an integer number (82118189205).

Almost surely, 2^{13144467818304} 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 13144467818304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20693783679660).

13144467818304 is an abundant number, since it is smaller than the sum of its proper divisors (28243099541016).

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

13144467818304 is a wasteful number, since it uses less digits than its factorization.

13144467818304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 13144467818304 in words is "thirteen trillion, one hundred forty-four billion, four hundred sixty-seven million, eight hundred eighteen thousand, three hundred four".