82421471379456 has 648 divisors, whose sum is σ = 269759220933384. Its totient is φ = 24973336903680.

The previous prime is 82421471379449. The next prime is 82421471379479. The reversal of 82421471379456 is 65497317412428.

82421471379456 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 1 + 47 + 137 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a junction number, because it is equal to n+sod(n) for n = 82421471379393 and 82421471379402.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9459592956 + ... + 9459601668.

It is an arithmetic number, because the mean of its divisors is an integer number (416295094033).

Almost surely, 2^{82421471379456} 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 82421471379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134879610466692).

82421471379456 is an abundant number, since it is smaller than the sum of its proper divisors (187337749553928).

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

82421471379456 is an frugal number, since it uses more digits than its factorization.

82421471379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8782 (or 8729 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 82421471379456 in words is "eighty-two trillion, four hundred twenty-one billion, four hundred seventy-one million, three hundred seventy-nine thousand, four hundred fifty-six".