13738685768 has 16 divisors (see below), whose sum is σ = 25761356160. Its totient is φ = 6868990800.

The previous prime is 13738685767. The next prime is 13738685789. The reversal of 13738685768 is 86758683731.

13738685768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13738685768³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13738685768.

It is not an unprimeable number, because it can be changed into a prime (13738685767) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 204113 + ... + 262943.

It is an arithmetic number, because the mean of its divisors is an integer number (1610084760).

Almost surely, 2^13738685768 is an apocalyptic number.

It is an amenable number.

13738685768 is a deficient number, since it is larger than the sum of its proper divisors (12022670392).

13738685768 is a wasteful number, since it uses less digits than its factorization.

13738685768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88028 (or 88024 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 62.

The spelling of 13738685768 in words is "thirteen billion, seven hundred thirty-eight million, six hundred eighty-five thousand, seven hundred sixty-eight".