12830582664 has 48 divisors (see below), whose sum is σ = 34795912320. Its totient is φ = 4271148000.

The previous prime is 12830582663. The next prime is 12830582689. The reversal of 12830582664 is 46628503821.

12830582664 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 582 + 6 + 64 = 666.

12830582664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12830582664³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12830582663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64572 + ... + 172715.

It is an arithmetic number, because the mean of its divisors is an integer number (724914840).

Almost surely, 2^12830582664 is an apocalyptic number.

It is an amenable number.

12830582664 is an abundant number, since it is smaller than the sum of its proper divisors (21965329656).

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

12830582664 is a wasteful number, since it uses less digits than its factorization.

12830582664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238050 (or 238043 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12830582664 in words is "twelve billion, eight hundred thirty million, five hundred eighty-two thousand, six hundred sixty-four".