81967944976918 has 128 divisors (see below), whose sum is σ = 165275591685120. Its totient is φ = 29444486238720.

The previous prime is 81967944976861. The next prime is 81967944976937.

It is a happy number.

81967944976918 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6995636796 + ... + 6995648512.

It is an arithmetic number, because the mean of its divisors is an integer number (1291215560040).

Almost surely, 2^{81967944976918} is an apocalyptic number.

81967944976918 is an abundant number, since it is smaller than the sum of its proper divisors (83307646708202).

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

81967944976918 is a wasteful number, since it uses less digits than its factorization.

81967944976918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542.

The product of its digits is 11851370496, while the sum is 88.

The spelling of 81967944976918 in words is "eighty-one trillion, nine hundred sixty-seven billion, nine hundred forty-four million, nine hundred seventy-six thousand, nine hundred eighteen".