86822194226256 has 240 divisors, whose sum is σ = 248932937510400. Its totient is φ = 28240157924352.

The previous prime is 86822194226221. The next prime is 86822194226311. The reversal of 86822194226256 is 65262249122868.

It is a happy number.

86822194226256 is a `hidden beast` number, since 8 + 6 + 82 + 21 + 9 + 422 + 62 + 56 = 666.

86822194226256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 86822194226193 and 86822194226202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5686166590 + ... + 5686181858.

It is an arithmetic number, because the mean of its divisors is an integer number (1037220572960).

Almost surely, 2^{86822194226256} 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 86822194226256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124466468755200).

86822194226256 is an abundant number, since it is smaller than the sum of its proper divisors (162110743284144).

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

86822194226256 is a wasteful number, since it uses less digits than its factorization.

86822194226256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20866 (or 20857 counting only the distinct ones).

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

The spelling of 86822194226256 in words is "eighty-six trillion, eight hundred twenty-two billion, one hundred ninety-four million, two hundred twenty-six thousand, two hundred fifty-six".