13838934321 has 21 divisors (see below), whose sum is σ = 20753673051. Its totient is φ = 9223838712.

The previous prime is 13838934301. The next prime is 13838934383. The reversal of 13838934321 is 12343983831.

The square root of 13838934321 is 117639.

It is a perfect power (a square), and thus also a powerful number.

13838934321 is a `hidden beast` number, since 138 + 3 + 89 + 3 + 432 + 1 = 666.

13838934321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13826232225 + 12702096 = 117585^2 + 3564^2 .

It is not a de Polignac number, because 13838934321 - 2⁵ = 13838934289 is a prime.

It is a super-2 number, since 2×13838934321² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13838934301) 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 20 ways as a sum of consecutive naturals, for example, 3174075 + ... + 3178431.

Almost surely, 2^13838934321 is an apocalyptic number.

13838934321 is the 117639-th square number.

13838934321 is the 58820-th centered octagonal number.

It is an amenable number.

13838934321 is a deficient number, since it is larger than the sum of its proper divisors (6914738730).

13838934321 is an frugal number, since it uses more digits than its factorization.

13838934321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8732 (or 4360 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 13838934321 in words is "thirteen billion, eight hundred thirty-eight million, nine hundred thirty-four thousand, three hundred twenty-one".