10665585345 has 32 divisors (see below), whose sum is σ = 17670182400. Its totient is φ = 5486937344.

The previous prime is 10665585299. The next prime is 10665585353. The reversal of 10665585345 is 54358556601.

It is a happy number.

It is not a de Polignac number, because 10665585345 - 2²⁷ = 10531367617 is a prime.

It is a super-2 number, since 2×10665585345² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10665585294 and 10665585303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468691 + ... + 490919.

It is an arithmetic number, because the mean of its divisors is an integer number (552193200).

Almost surely, 2^10665585345 is an apocalyptic number.

10665585345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10665585345 is a deficient number, since it is larger than the sum of its proper divisors (7004597055).

10665585345 is a wasteful number, since it uses less digits than its factorization.

10665585345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23369.

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 10665585345 in words is "ten billion, six hundred sixty-five million, five hundred eighty-five thousand, three hundred forty-five".