82948834966167 has 48 divisors (see below), whose sum is σ = 126591261350400. Its totient is φ = 53679802623840.

The previous prime is 82948834966163. The next prime is 82948834966169. The reversal of 82948834966167 is 76166943884928.

82948834966167 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 8 + 8 + 3 + 496 + 61 + 67 = 666.

It is not a de Polignac number, because 82948834966167 - 2² = 82948834966163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82948834966163) 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, 13327684 + ... + 18534422.

It is an arithmetic number, because the mean of its divisors is an integer number (2637317944800).

Almost surely, 2^{82948834966167} is an apocalyptic number.

82948834966167 is a deficient number, since it is larger than the sum of its proper divisors (43642426384233).

82948834966167 is a wasteful number, since it uses less digits than its factorization.

82948834966167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207253 (or 5207210 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 82948834966167 in words is "eighty-two trillion, nine hundred forty-eight billion, eight hundred thirty-four million, nine hundred sixty-six thousand, one hundred sixty-seven".