585146342635345 has 16 divisors (see below), whose sum is σ = 704106697738752. Its totient is φ = 466829856244800.

The previous prime is 585146342635321. The next prime is 585146342635381. The reversal of 585146342635345 is 543536243641585.

It is a de Polignac number, because none of the positive numbers 2^k-585146342635345 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16231320 + ... + 37864870.

It is an arithmetic number, because the mean of its divisors is an integer number (44006668608672).

Almost surely, 2^{585146342635345} is an apocalyptic number.

It is an amenable number.

585146342635345 is a deficient number, since it is larger than the sum of its proper divisors (118960355103407).

585146342635345 is a wasteful number, since it uses less digits than its factorization.

585146342635345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21648432.

The product of its digits is 622080000, while the sum is 64.

The spelling of 585146342635345 in words is "five hundred eighty-five trillion, one hundred forty-six billion, three hundred forty-two million, six hundred thirty-five thousand, three hundred forty-five".