11459106585 has 16 divisors (see below), whose sum is σ = 20371745280. Its totient is φ = 6111523440.

The previous prime is 11459106559. The next prime is 11459106653. The reversal of 11459106585 is 58560195411.

11459106585 is a `hidden beast` number, since 1 + 1 + 4 + 59 + 10 + 6 + 585 = 666.

It is not a de Polignac number, because 11459106585 - 2⁵ = 11459106553 is a prime.

It is a super-2 number, since 2×11459106585² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11459106585.

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, 42441001 + ... + 42441270.

It is an arithmetic number, because the mean of its divisors is an integer number (1273234080).

Almost surely, 2^11459106585 is an apocalyptic number.

11459106585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11459106585 is a deficient number, since it is larger than the sum of its proper divisors (8912638695).

11459106585 is an equidigital number, since it uses as much as digits as its factorization.

11459106585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84882285 (or 84882279 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 11459106585 in words is "eleven billion, four hundred fifty-nine million, one hundred six thousand, five hundred eighty-five".