164434656031 has 2 divisors, whose sum is σ = 164434656032. Its totient is φ = 164434656030.

The previous prime is 164434655969. The next prime is 164434656137. The reversal of 164434656031 is 130656434461.

164434656031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164434656031 - 2⁹ = 164434655519 is a prime.

It is a super-3 number, since 3×164434656031³ (a number of 35 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 (164434696031) 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, 82217328015 + 82217328016.

It is an arithmetic number, because the mean of its divisors is an integer number (82217328016).

Almost surely, 2^164434656031 is an apocalyptic number.

164434656031 is a deficient number, since it is larger than the sum of its proper divisors (1).

164434656031 is an equidigital number, since it uses as much as digits as its factorization.

164434656031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 164434656031 in words is "one hundred sixty-four billion, four hundred thirty-four million, six hundred fifty-six thousand, thirty-one".