12982815675648 has 3240 divisors, whose sum is σ = 54531825717600. Its totient is φ = 3035957428224.

The previous prime is 12982815675607. The next prime is 12982815675659. The reversal of 12982815675648 is 84657651828921.

12982815675648 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 2 + 8 + 1 + 56 + 7 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (464486400) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 72529696423 + ... + 72529696601.

Almost surely, 2^{12982815675648} is an apocalyptic number.

12982815675648 is a gapful number since it is divisible by the number (18) 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 12982815675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27265912858800).

12982815675648 is an abundant number, since it is smaller than the sum of its proper divisors (41549010041952).

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

12982815675648 is a wasteful number, since it uses less digits than its factorization.

12982815675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 240 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 12982815675648 in words is "twelve trillion, nine hundred eighty-two billion, eight hundred fifteen million, six hundred seventy-five thousand, six hundred forty-eight".