82414335681 has 16 divisors (see below), whose sum is σ = 123640825600. Its totient is φ = 54247409424.

The previous prime is 82414335629. The next prime is 82414335713. The reversal of 82414335681 is 18653341428.

82414335681 is a `hidden beast` number, since 8 + 2 + 41 + 43 + 3 + 568 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-82414335681 is a prime.

It is a super-2 number, since 2×82414335681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82414335181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19316746 + ... + 19321011.

It is an arithmetic number, because the mean of its divisors is an integer number (7727551600).

Almost surely, 2^82414335681 is an apocalyptic number.

It is an amenable number.

82414335681 is a deficient number, since it is larger than the sum of its proper divisors (41226489919).

82414335681 is a wasteful number, since it uses less digits than its factorization.

82414335681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38637845 (or 38637839 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 82414335681 in words is "eighty-two billion, four hundred fourteen million, three hundred thirty-five thousand, six hundred eighty-one".