164404503113519 has 2 divisors, whose sum is σ = 164404503113520. Its totient is φ = 164404503113518.

The previous prime is 164404503113483. The next prime is 164404503113533. The reversal of 164404503113519 is 915311305404461.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164404503113519 is a prime.

It is a super-3 number, since 3×164404503113519³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164404503116519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202251556759 + 82202251556760.

It is an arithmetic number, because the mean of its divisors is an integer number (82202251556760).

Almost surely, 2^{164404503113519} is an apocalyptic number.

164404503113519 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404503113519 is an equidigital number, since it uses as much as digits as its factorization.

164404503113519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 164404503113519 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred three million, one hundred thirteen thousand, five hundred nineteen".