82266684192 has 432 divisors, whose sum is σ = 295828303680. Its totient is φ = 21226613760.

The previous prime is 82266684191. The next prime is 82266684193. The reversal of 82266684192 is 29148666228.

It is an interprime number because it is at equal distance from previous prime (82266684191) and next prime (82266684193).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (82266684191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39760534 + ... + 39762602.

It is an arithmetic number, because the mean of its divisors is an integer number (684787740).

Almost surely, 2^82266684192 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 82266684192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147914151840).

82266684192 is an abundant number, since it is smaller than the sum of its proper divisors (213561619488).

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

82266684192 is a wasteful number, since it uses less digits than its factorization.

82266684192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2255 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 82266684192 in words is "eighty-two billion, two hundred sixty-six million, six hundred eighty-four thousand, one hundred ninety-two".