12584000364 has 48 divisors (see below), whose sum is σ = 31637222400. Its totient is φ = 3870054720.

The previous prime is 12584000323. The next prime is 12584000369. The reversal of 12584000364 is 46300048521.

12584000364 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-2 number, since 2×12584000364² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12584000369) 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 15 ways as a sum of consecutive naturals, for example, 308229 + ... + 346659.

It is an arithmetic number, because the mean of its divisors is an integer number (659108800).

Almost surely, 2^12584000364 is an apocalyptic number.

It is an amenable number.

12584000364 is an abundant number, since it is smaller than the sum of its proper divisors (19053222036).

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

12584000364 is a wasteful number, since it uses less digits than its factorization.

12584000364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40550 (or 40548 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 12584000364 its reverse (46300048521), we get a palindrome (58884048885).

The spelling of 12584000364 in words is "twelve billion, five hundred eighty-four million, three hundred sixty-four", and thus it is an aban number.