13839741792 has 144 divisors (see below), whose sum is σ = 41631958368. Its totient is φ = 4352071680.

The previous prime is 13839741787. The next prime is 13839741809. The reversal of 13839741792 is 29714793831.

13839741792 is a `hidden beast` number, since 1 + 383 + 97 + 4 + 179 + 2 = 666.

13839741792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469242 + ... + 497862.

It is an arithmetic number, because the mean of its divisors is an integer number (289110822).

Almost surely, 2^13839741792 is an apocalyptic number.

13839741792 is a gapful number since it is divisible by the number (12) 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 13839741792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815979184).

13839741792 is an abundant number, since it is smaller than the sum of its proper divisors (27792216576).

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

13839741792 is a wasteful number, since it uses less digits than its factorization.

13839741792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28733 (or 28722 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 13839741792 in words is "thirteen billion, eight hundred thirty-nine million, seven hundred forty-one thousand, seven hundred ninety-two".