92318944981329 has 72 divisors (see below), whose sum is σ = 150835117358016. Its totient is φ = 54330449976000.

The previous prime is 92318944981297. The next prime is 92318944981349.

92318944981329 is a `hidden beast` number, since 9 + 2 + 3 + 1 + 89 + 449 + 81 + 3 + 29 = 666.

92318944981329 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 92318944981329 - 2⁵ = 92318944981297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (92318944981349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17989854 + ... + 22544904.

It is an arithmetic number, because the mean of its divisors is an integer number (2094932185528).

Almost surely, 2^{92318944981329} is an apocalyptic number.

92318944981329 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

92318944981329 is a deficient number, since it is larger than the sum of its proper divisors (58516172376687).

92318944981329 is a wasteful number, since it uses less digits than its factorization.

92318944981329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555619 (or 4555605 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 92318944981329 in words is "ninety-two trillion, three hundred eighteen billion, nine hundred forty-four million, nine hundred eighty-one thousand, three hundred twenty-nine".