8221809714912 has 216 divisors, whose sum is σ = 24263085535416. Its totient is φ = 2639010668544.

The previous prime is 8221809714907. The next prime is 8221809714917. The reversal of 8221809714912 is 2194179081228.

8221809714912 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 80 + 9 + 71 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8221809714907) and next prime (8221809714917).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221809714917) 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 35 ways as a sum of consecutive naturals, for example, 100221303 + ... + 100303305.

It is an arithmetic number, because the mean of its divisors is an integer number (112329099701).

Almost surely, 2^{8221809714912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221809714912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12131542767708).

8221809714912 is an abundant number, since it is smaller than the sum of its proper divisors (16041275820504).

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

8221809714912 is a wasteful number, since it uses less digits than its factorization.

8221809714912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82250 (or 82142 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 8221809714912 in words is "eight trillion, two hundred twenty-one billion, eight hundred nine million, seven hundred fourteen thousand, nine hundred twelve".