82311223218444 has 288 divisors, whose sum is σ = 241448061254400. Its totient is φ = 23381262213120.

The previous prime is 82311223218383. The next prime is 82311223218449. The reversal of 82311223218444 is 44481232211328.

82311223218444 is a `hidden beast` number, since 8 + 2 + 311 + 2 + 2 + 321 + 8 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×82311223218444² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82311223218444.

It is not an unprimeable number, because it can be changed into a prime (82311223218449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 504094087 + ... + 504257345.

It is an arithmetic number, because the mean of its divisors is an integer number (838361323800).

Almost surely, 2^{82311223218444} 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 82311223218444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120724030627200).

82311223218444 is an abundant number, since it is smaller than the sum of its proper divisors (159136838035956).

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

82311223218444 is a wasteful number, since it uses less digits than its factorization.

82311223218444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164005 (or 164000 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 82311223218444 in words is "eighty-two trillion, three hundred eleven billion, two hundred twenty-three million, two hundred eighteen thousand, four hundred forty-four".