13585885249 has 16 divisors (see below), whose sum is σ = 14483289600. Its totient is φ = 12716960256.

The previous prime is 13585885211. The next prime is 13585885273. The reversal of 13585885249 is 94258858531.

It is a cyclic number.

It is not a de Polignac number, because 13585885249 - 2¹⁷ = 13585754177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13585885193 and 13585885202.

It is not an unprimeable number, because it can be changed into a prime (13585885279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172237 + ... + 238405.

It is an arithmetic number, because the mean of its divisors is an integer number (905205600).

Almost surely, 2^13585885249 is an apocalyptic number.

It is an amenable number.

13585885249 is a deficient number, since it is larger than the sum of its proper divisors (897404351).

13585885249 is a wasteful number, since it uses less digits than its factorization.

13585885249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66384.

The product of its digits is 13824000, while the sum is 58.

The spelling of 13585885249 in words is "thirteen billion, five hundred eighty-five million, eight hundred eighty-five thousand, two hundred forty-nine".