13623841344 has 224 divisors, whose sum is σ = 40094611200. Its totient is φ = 4060807168.

The previous prime is 13623841337. The next prime is 13623841349. The reversal of 13623841344 is 44314832631.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13623841349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12986932 + ... + 12987980.

It is an arithmetic number, because the mean of its divisors is an integer number (178993800).

Almost surely, 2^13623841344 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 13623841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20047305600).

13623841344 is an abundant number, since it is smaller than the sum of its proper divisors (26470769856).

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

13623841344 is a wasteful number, since it uses less digits than its factorization.

13623841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 13623841344 in words is "thirteen billion, six hundred twenty-three million, eight hundred forty-one thousand, three hundred forty-four".