164404503114529 has 2 divisors, whose sum is σ = 164404503114530. Its totient is φ = 164404503114528.

The previous prime is 164404503114473. The next prime is 164404503114557. The reversal of 164404503114529 is 925411305404461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154456377090304 + 9948126024225 = 12428048^2 + 3154065^2 .

It is a cyclic number.

It is not a de Polignac number, because 164404503114529 - 2²³ = 164404494725921 is a prime.

It is a super-3 number, since 3×164404503114529³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (164404503114569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202251557264 + 82202251557265.

It is an arithmetic number, because the mean of its divisors is an integer number (82202251557265).

Almost surely, 2^{164404503114529} is an apocalyptic number.

It is an amenable number.

164404503114529 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404503114529 is an equidigital number, since it uses as much as digits as its factorization.

164404503114529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 164404503114529 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred three million, one hundred fourteen thousand, five hundred twenty-nine".