10345456585 has 16 divisors (see below), whose sum is σ = 13103596800. Its totient is φ = 7819376256.

The previous prime is 10345456579. The next prime is 10345456591. The reversal of 10345456585 is 58565454301.

It is an interprime number because it is at equal distance from previous prime (10345456579) and next prime (10345456591).

It is a cyclic number.

It is not a de Polignac number, because 10345456585 - 2²³ = 10337067977 is a prime.

It is an alternating number because its digits alternate between odd and even.

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, 113500 + ... + 183229.

It is an arithmetic number, because the mean of its divisors is an integer number (818974800).

Almost surely, 2^10345456585 is an apocalyptic number.

It is an amenable number.

10345456585 is a deficient number, since it is larger than the sum of its proper divisors (2758140215).

10345456585 is a wasteful number, since it uses less digits than its factorization.

10345456585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297120.

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 10345456585 in words is "ten billion, three hundred forty-five million, four hundred fifty-six thousand, five hundred eighty-five".