12805328464 has 30 divisors (see below), whose sum is σ = 26184868890. Its totient is φ = 6065679168.

The previous prime is 12805328461. The next prime is 12805328477. The reversal of 12805328464 is 46482350821.

It is a happy number.

12805328464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10402368064 + 2402960400 = 101992^2 + 49020^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12805328464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12805328461) 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 5 ways as a sum of consecutive naturals, for example, 1102719 + ... + 1114270.

It is an arithmetic number, because the mean of its divisors is an integer number (872828963).

Almost surely, 2^12805328464 is an apocalyptic number.

It is an amenable number.

12805328464 is an abundant number, since it is smaller than the sum of its proper divisors (13379540426).

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

12805328464 is a wasteful number, since it uses less digits than its factorization.

12805328464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217035 (or 2217010 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 12805328464 in words is "twelve billion, eight hundred five million, three hundred twenty-eight thousand, four hundred sixty-four".