12583311564 has 48 divisors (see below), whose sum is σ = 31020577280. Its totient is φ = 3958994880.

The previous prime is 12583311397. The next prime is 12583311641. The reversal of 12583311564 is 46511338521.

It is a super-3 number, since 3×12583311564³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 40039 + ... + 163614.

Almost surely, 2^12583311564 is an apocalyptic number.

It is an amenable number.

12583311564 is an abundant number, since it is smaller than the sum of its proper divisors (18437265716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12583311564 is a wasteful number, since it uses less digits than its factorization.

12583311564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203950 (or 203948 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The spelling of 12583311564 in words is "twelve billion, five hundred eighty-three million, three hundred eleven thousand, five hundred sixty-four".