585946820349 has 16 divisors (see below), whose sum is σ = 946984760640. Its totient is φ = 355119284880.

The previous prime is 585946820341. The next prime is 585946820401. The reversal of 585946820349 is 943028649585.

585946820349 is a `hidden beast` number, since 5 + 8 + 594 + 6 + 8 + 2 + 0 + 34 + 9 = 666.

It is not a de Polignac number, because 585946820349 - 2³ = 585946820341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585946820341) 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 in 15 ways as a sum of consecutive naturals, for example, 986442162 + ... + 986442755.

It is an arithmetic number, because the mean of its divisors is an integer number (59186547540).

Almost surely, 2^585946820349 is an apocalyptic number.

It is an amenable number.

585946820349 is a deficient number, since it is larger than the sum of its proper divisors (361037940291).

585946820349 is a wasteful number, since it uses less digits than its factorization.

585946820349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972884937 (or 1972884931 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 585946820349 in words is "five hundred eighty-five billion, nine hundred forty-six million, eight hundred twenty thousand, three hundred forty-nine".