82444686912 has 336 divisors, whose sum is σ = 285334008960. Its totient is φ = 22233636864.

The previous prime is 82444686847. The next prime is 82444686913. The reversal of 82444686912 is 21968644428.

It is a happy number.

82444686912 is a `hidden beast` number, since 82 + 44 + 468 + 69 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82444686913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22444308 + ... + 22447980.

It is an arithmetic number, because the mean of its divisors is an integer number (849208360).

Almost surely, 2^82444686912 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 82444686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142667004480).

82444686912 is an abundant number, since it is smaller than the sum of its proper divisors (202889322048).

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

82444686912 is a wasteful number, since it uses less digits than its factorization.

82444686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3997 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 82444686912 in words is "eighty-two billion, four hundred forty-four million, six hundred eighty-six thousand, nine hundred twelve".