12806386665408 has 84 divisors (see below), whose sum is σ = 41951080141360. Its totient is φ = 3658967617536.

The previous prime is 12806386665343. The next prime is 12806386665419. The reversal of 12806386665408 is 80456668360821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1588089553 + ... + 1588097616.

Almost surely, 2^{12806386665408} is an apocalyptic number.

12806386665408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12806386665408 is an abundant number, since it is smaller than the sum of its proper divisors (29144693475952).

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

12806386665408 is a wasteful number, since it uses less digits than its factorization.

12806386665408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176187194 (or 3176187181 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 12806386665408 in words is "twelve trillion, eight hundred six billion, three hundred eighty-six million, six hundred sixty-five thousand, four hundred eight".