585638376961 has 8 divisors (see below), whose sum is σ = 639014478048. Its totient is φ = 532284984000.

The previous prime is 585638376907. The next prime is 585638376989. The reversal of 585638376961 is 169673836585.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 585638376961 - 2¹⁹ = 585637852673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (585638376901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5623080 + ... + 5726281.

It is an arithmetic number, because the mean of its divisors is an integer number (79876809756).

Almost surely, 2^585638376961 is an apocalyptic number.

It is an amenable number.

585638376961 is a deficient number, since it is larger than the sum of its proper divisors (53376101087).

585638376961 is a wasteful number, since it uses less digits than its factorization.

585638376961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354063.

The product of its digits is 195955200, while the sum is 67.

The spelling of 585638376961 in words is "five hundred eighty-five billion, six hundred thirty-eight million, three hundred seventy-six thousand, nine hundred sixty-one".