13804138337 has 32 divisors (see below), whose sum is σ = 15634612224. Its totient is φ = 12080152000.

The previous prime is 13804138331. The next prime is 13804138393. The reversal of 13804138337 is 73383140831.

It is a cyclic number.

It is not a de Polignac number, because 13804138337 - 2²⁴ = 13787361121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13804138294 and 13804138303.

It is not an unprimeable number, because it can be changed into a prime (13804138331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8719448 + ... + 8721030.

It is an arithmetic number, because the mean of its divisors is an integer number (488581632).

Almost surely, 2^13804138337 is an apocalyptic number.

It is an amenable number.

13804138337 is a deficient number, since it is larger than the sum of its proper divisors (1830473887).

13804138337 is a wasteful number, since it uses less digits than its factorization.

13804138337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 13804138337 in words is "thirteen billion, eight hundred four million, one hundred thirty-eight thousand, three hundred thirty-seven".