12585448656 has 160 divisors (see below), whose sum is σ = 39647462400. Its totient is φ = 3790696320.

The previous prime is 12585448609. The next prime is 12585448663. The reversal of 12585448656 is 65684458521.

12585448656 is a `hidden beast` number, since 1 + 2 + 585 + 4 + 4 + 8 + 6 + 56 = 666.

12585448656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 785655 + ... + 801513.

It is an arithmetic number, because the mean of its divisors is an integer number (247796640).

Almost surely, 2^12585448656 is an apocalyptic number.

12585448656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12585448656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19823731200).

12585448656 is an abundant number, since it is smaller than the sum of its proper divisors (27062013744).

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

12585448656 is a wasteful number, since it uses less digits than its factorization.

12585448656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16054 (or 16042 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 12585448656 in words is "twelve billion, five hundred eighty-five million, four hundred forty-eight thousand, six hundred fifty-six".