82299967218 has 320 divisors, whose sum is σ = 228627041280. Its totient is φ = 21604060800.

The previous prime is 82299967151. The next prime is 82299967229. The reversal of 82299967218 is 81276999228.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 195486648 + ... + 195487068.

It is an arithmetic number, because the mean of its divisors is an integer number (714459504).

Almost surely, 2^82299967218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82299967218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114313520640).

82299967218 is an abundant number, since it is smaller than the sum of its proper divisors (146327074062).

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

82299967218 is a wasteful number, since it uses less digits than its factorization.

82299967218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 82299967218 in words is "eighty-two billion, two hundred ninety-nine million, nine hundred sixty-seven thousand, two hundred eighteen".