282807457668 has 96 divisors (see below), whose sum is σ = 776586021120. Its totient is φ = 88695129600.

The previous prime is 282807457643. The next prime is 282807457717. The reversal of 282807457668 is 866754708282.

It is a super-2 number, since 2×282807457668² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6037305 + ... + 6083967.

It is an arithmetic number, because the mean of its divisors is an integer number (8089437720).

Almost surely, 2^282807457668 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 282807457668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388293010560).

282807457668 is an abundant number, since it is smaller than the sum of its proper divisors (493778563452).

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

282807457668 is a wasteful number, since it uses less digits than its factorization.

282807457668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49994 (or 49986 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 282807457668 in words is "two hundred eighty-two billion, eight hundred seven million, four hundred fifty-seven thousand, six hundred sixty-eight".