13844968704 has 216 divisors, whose sum is σ = 45976362432. Its totient is φ = 3924910080.

The previous prime is 13844968681. The next prime is 13844968721. The reversal of 13844968704 is 40786944831.

13844968704 is a `hidden beast` number, since 1 + 3 + 84 + 496 + 8 + 70 + 4 = 666.

It is a super-3 number, since 3×13844968704³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2109492 + ... + 2116044.

Almost surely, 2^13844968704 is an apocalyptic number.

13844968704 is a gapful number since it is divisible by the number (14) 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 13844968704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988181216).

13844968704 is an abundant number, since it is smaller than the sum of its proper divisors (32131393728).

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

13844968704 is a wasteful number, since it uses less digits than its factorization.

13844968704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13844968704 in words is "thirteen billion, eight hundred forty-four million, nine hundred sixty-eight thousand, seven hundred four".