85585404249 has 10 divisors (see below), whose sum is σ = 127849801530. Its totient is φ = 57056936112.

The previous prime is 85585404241. The next prime is 85585404251. The reversal of 85585404249 is 94240458558.

85585404249 is a `hidden beast` number, since 8 + 5 + 58 + 540 + 4 + 2 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84626882649 + 958521600 = 290907^2 + 30960^2 .

It is not a de Polignac number, because 85585404249 - 2³ = 85585404241 is a prime.

It is a super-2 number, since 2×85585404249² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85585404195 and 85585404204.

It is not an unprimeable number, because it can be changed into a prime (85585404241) 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 9 ways as a sum of consecutive naturals, for example, 528304884 + ... + 528305045.

It is an arithmetic number, because the mean of its divisors is an integer number (12784980153).

Almost surely, 2^85585404249 is an apocalyptic number.

It is an amenable number.

85585404249 is a deficient number, since it is larger than the sum of its proper divisors (42264397281).

85585404249 is a wasteful number, since it uses less digits than its factorization.

85585404249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056609941 (or 1056609932 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 85585404249 in words is "eighty-five billion, five hundred eighty-five million, four hundred four thousand, two hundred forty-nine".