82122453280767 has 16 divisors (see below), whose sum is σ = 110942028746240. Its totient is φ = 54026332394112.

The previous prime is 82122453280757. The next prime is 82122453280801. The reversal of 82122453280767 is 76708235422128.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-82122453280767 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82122453280757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92355658 + ... + 93240615.

It is an arithmetic number, because the mean of its divisors is an integer number (6933876796640).

Almost surely, 2^{82122453280767} is an apocalyptic number.

82122453280767 is a deficient number, since it is larger than the sum of its proper divisors (28819575465473).

82122453280767 is a wasteful number, since it uses less digits than its factorization.

82122453280767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185598222.

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 82122453280767 in words is "eighty-two trillion, one hundred twenty-two billion, four hundred fifty-three million, two hundred eighty thousand, seven hundred sixty-seven".