82213382352 has 80 divisors (see below), whose sum is σ = 219319692800. Its totient is φ = 26510284800.

The previous prime is 82213382333. The next prime is 82213382393. The reversal of 82213382352 is 25328331228.

It is a super-2 number, since 2×82213382352² (a number of 23 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 82213382352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4527852 + ... + 4545972.

It is an arithmetic number, because the mean of its divisors is an integer number (2741496160).

Almost surely, 2^82213382352 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 82213382352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109659846400).

82213382352 is an abundant number, since it is smaller than the sum of its proper divisors (137106310448).

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

82213382352 is a wasteful number, since it uses less digits than its factorization.

82213382352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21212 (or 21206 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 82213382352 in words is "eighty-two billion, two hundred thirteen million, three hundred eighty-two thousand, three hundred fifty-two".