82282049050689 has 12 divisors (see below), whose sum is σ = 118920115077972. Its totient is φ = 54823191775200.

The previous prime is 82282049050673. The next prime is 82282049050709. The reversal of 82282049050689 is 98605094028228.

82282049050689 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 2 + 0 + 49 + 0 + 506 + 89 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10700042872464 + 71582006178225 = 3271092^2 + 8460615^2 .

It is not a de Polignac number, because 82282049050689 - 2⁴ = 82282049050673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82282049050489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2625616122 + ... + 2625647459.

It is an arithmetic number, because the mean of its divisors is an integer number (9910009589831).

Almost surely, 2^{82282049050689} is an apocalyptic number.

It is an amenable number.

82282049050689 is a deficient number, since it is larger than the sum of its proper divisors (36638066027283).

82282049050689 is a wasteful number, since it uses less digits than its factorization.

82282049050689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5251265328 (or 5251265325 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 82282049050689 in words is "eighty-two trillion, two hundred eighty-two billion, forty-nine million, fifty thousand, six hundred eighty-nine".