13824200344960 has 256 divisors, whose sum is σ = 34914709670400. Its totient is φ = 5219584081920.

The previous prime is 13824200344919. The next prime is 13824200345041. The reversal of 13824200344960 is 6944300242831.

It is a super-2 number, since 2×13824200344960² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13824200344960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4429412200 + ... + 4429415320.

It is an arithmetic number, because the mean of its divisors is an integer number (136385584650).

Almost surely, 2^{13824200344960} is an apocalyptic number.

13824200344960 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 13824200344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457354835200).

13824200344960 is an abundant number, since it is smaller than the sum of its proper divisors (21090509325440).

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

13824200344960 is a wasteful number, since it uses less digits than its factorization.

13824200344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 13824200344960 in words is "thirteen trillion, eight hundred twenty-four billion, two hundred million, three hundred forty-four thousand, nine hundred sixty".