13844340768 has 96 divisors (see below), whose sum is σ = 37386074880. Its totient is φ = 4483082240.

The previous prime is 13844340761. The next prime is 13844340773. The reversal of 13844340768 is 86704344831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13844340761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933346 + ... + 948062.

It is an arithmetic number, because the mean of its divisors is an integer number (389438280).

Almost surely, 2^13844340768 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 13844340768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18693037440).

13844340768 is an abundant number, since it is smaller than the sum of its proper divisors (23541734112).

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

13844340768 is a wasteful number, since it uses less digits than its factorization.

13844340768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15010 (or 15002 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 13844340768 in words is "thirteen billion, eight hundred forty-four million, three hundred forty thousand, seven hundred sixty-eight".