13838306085 has 40 divisors (see below), whose sum is σ = 26265660696. Its totient is φ = 6946283520.

The previous prime is 13838306033. The next prime is 13838306113. The reversal of 13838306085 is 58060383831.

13838306085 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 8 + 30 + 608 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 728514081 + 13109792004 = 26991^2 + 114498^2 .

It is not a de Polignac number, because 13838306085 - 2²¹ = 13836208933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13838306085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 998076 + ... + 1011845.

Almost surely, 2^13838306085 is an apocalyptic number.

13838306085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13838306085 is a deficient number, since it is larger than the sum of its proper divisors (12427354611).

13838306085 is a wasteful number, since it uses less digits than its factorization.

13838306085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009955 (or 2009946 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13838306085 in words is "thirteen billion, eight hundred thirty-eight million, three hundred six thousand, eighty-five".