13344345240000 has 560 divisors, whose sum is σ = 46545586644480. Its totient is φ = 3363655680000.

The previous prime is 13344345239989. The next prime is 13344345240001. The reversal of 13344345240000 is 4254344331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344345240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1055633680 + ... + 1055646320.

It is an arithmetic number, because the mean of its divisors is an integer number (83117119008).

Almost surely, 2^{13344345240000} is an apocalyptic number.

13344345240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13344345240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272793322240).

13344345240000 is an abundant number, since it is smaller than the sum of its proper divisors (33201241404480).

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

13344345240000 is a wasteful number, since it uses less digits than its factorization.

13344345240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13158 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 13344345240000 its reverse (4254344331), we get a palindrome (13348599584331).

The spelling of 13344345240000 in words is "thirteen trillion, three hundred forty-four billion, three hundred forty-five million, two hundred forty thousand".