13585844585849 has 2 divisors, whose sum is σ = 13585844585850. Its totient is φ = 13585844585848.

The previous prime is 13585844585801. The next prime is 13585844585861. The reversal of 13585844585849 is 94858544858531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10063867969600 + 3521976616249 = 3172360^2 + 1876693^2 .

It is a cyclic number.

It is not a de Polignac number, because 13585844585849 - 2²⁴ = 13585827808633 is a prime.

It is a super-2 number, since 2×13585844585849² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13585844585849.

It is not a weakly prime, because it can be changed into another prime (13585844585899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6792922292924 + 6792922292925.

It is an arithmetic number, because the mean of its divisors is an integer number (6792922292925).

Almost surely, 2^{13585844585849} is an apocalyptic number.

It is an amenable number.

13585844585849 is a deficient number, since it is larger than the sum of its proper divisors (1).

13585844585849 is an equidigital number, since it uses as much as digits as its factorization.

13585844585849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4423680000, while the sum is 77.

The spelling of 13585844585849 in words is "thirteen trillion, five hundred eighty-five billion, eight hundred forty-four million, five hundred eighty-five thousand, eight hundred forty-nine".