82213203366 has 128 divisors (see below), whose sum is σ = 215338844160. Its totient is φ = 22761992736.

The previous prime is 82213203361. The next prime is 82213203367. The reversal of 82213203366 is 66330231228.

It is a happy number.

82213203366 is a `hidden beast` number, since 82 + 2 + 13 + 203 + 366 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82213203366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82213203361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2044345 + ... + 2084171.

It is an arithmetic number, because the mean of its divisors is an integer number (1682334720).

Almost surely, 2^82213203366 is an apocalyptic number.

82213203366 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 82213203366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107669422080).

82213203366 is an abundant number, since it is smaller than the sum of its proper divisors (133125640794).

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

82213203366 is a wasteful number, since it uses less digits than its factorization.

82213203366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40015 (or 40009 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 82213203366 in words is "eighty-two billion, two hundred thirteen million, two hundred three thousand, three hundred sixty-six".