12821634067968 has 960 divisors, whose sum is σ = 43375558786560. Its totient is φ = 3603116851200.

The previous prime is 12821634067967. The next prime is 12821634067969. The reversal of 12821634067968 is 86976043612821.

12821634067968 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 163 + 406 + 7 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (12821634067967) and next prime (12821634067969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821634067961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 20002548928 + ... + 20002549568.

It is an arithmetic number, because the mean of its divisors is an integer number (45182873736).

Almost surely, 2^{12821634067968} is an apocalyptic number.

12821634067968 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 12821634067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21687779393280).

12821634067968 is an abundant number, since it is smaller than the sum of its proper divisors (30553924718592).

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

12821634067968 is a wasteful number, since it uses less digits than its factorization.

12821634067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 12821634067968 in words is "twelve trillion, eight hundred twenty-one billion, six hundred thirty-four million, sixty-seven thousand, nine hundred sixty-eight".