164404541133323 has 2 divisors, whose sum is σ = 164404541133324. Its totient is φ = 164404541133322.

The previous prime is 164404541133179. The next prime is 164404541133337. The reversal of 164404541133323 is 323331145404461.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 164404541133323 - 2¹⁴ = 164404541116939 is a prime.

It is a super-3 number, since 3×164404541133323³ (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 (164404541133353) 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, 82202270566661 + 82202270566662.

It is an arithmetic number, because the mean of its divisors is an integer number (82202270566662).

Almost surely, 2^{164404541133323} is an apocalyptic number.

164404541133323 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404541133323 is an equidigital number, since it uses as much as digits as its factorization.

164404541133323 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 44.

Adding to 164404541133323 its reverse (323331145404461), we get a palindrome (487735686537784).

The spelling of 164404541133323 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred forty-one million, one hundred thirty-three thousand, three hundred twenty-three".