82282217472 has 816 divisors, whose sum is σ = 309600187680. Its totient is φ = 21403533312.

The previous prime is 82282217467. The next prime is 82282217477. The reversal of 82282217472 is 27471228228.

It is a happy number.

82282217472 is a `hidden beast` number, since 82 + 2 + 82 + 21 + 7 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (82282217467) and next prime (82282217477).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (401408) is a multiple of the sum of its prime divisors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82282217477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127153628 + ... + 1127153700.

Almost surely, 2^82282217472 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 82282217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154800093840).

82282217472 is an abundant number, since it is smaller than the sum of its proper divisors (227317970208).

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

82282217472 is an equidigital number, since it uses as much as digits as its factorization.

82282217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The spelling of 82282217472 in words is "eighty-two billion, two hundred eighty-two million, two hundred seventeen thousand, four hundred seventy-two".