13445042344344 has 192 divisors, whose sum is σ = 40644446400000. Its totient is φ = 4116145258368.

The previous prime is 13445042344319. The next prime is 13445042344361. The reversal of 13445042344344 is 44344324054431.

13445042344344 is a `hidden beast` number, since 1 + 3 + 44 + 504 + 23 + 4 + 43 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13445042344344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6338877 + ... + 8189715.

It is an arithmetic number, because the mean of its divisors is an integer number (211689825000).

Almost surely, 2^{13445042344344} 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 13445042344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20322223200000).

13445042344344 is an abundant number, since it is smaller than the sum of its proper divisors (27199404055656).

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

13445042344344 is a wasteful number, since it uses less digits than its factorization.

13445042344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851079 (or 1851056 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 13445042344344 its reverse (44344324054431), we get a palindrome (57789366398775).

The spelling of 13445042344344 in words is "thirteen trillion, four hundred forty-five billion, forty-two million, three hundred forty-four thousand, three hundred forty-four".