12824281687 has 32 divisors (see below), whose sum is σ = 16179305472. Its totient is φ = 9914171904.

The previous prime is 12824281681. The next prime is 12824281699. The reversal of 12824281687 is 78618242821.

12824281687 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12824281687 - 2⁷ = 12824281559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12824281687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12824281681) 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 31 ways as a sum of consecutive naturals, for example, 247558 + ... + 294844.

It is an arithmetic number, because the mean of its divisors is an integer number (505603296).

Almost surely, 2^12824281687 is an apocalyptic number.

12824281687 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12824281687 is a deficient number, since it is larger than the sum of its proper divisors (3355023785).

12824281687 is a wasteful number, since it uses less digits than its factorization.

12824281687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47407.

The product of its digits is 688128, while the sum is 49.

The spelling of 12824281687 in words is "twelve billion, eight hundred twenty-four million, two hundred eighty-one thousand, six hundred eighty-seven".