164434204600331 has 2 divisors, whose sum is σ = 164434204600332. Its totient is φ = 164434204600330.

The previous prime is 164434204600249. The next prime is 164434204600333. The reversal of 164434204600331 is 133006402434461.

It is a strong prime.

It is an emirp because it is prime and its reverse (133006402434461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164434204600331 - 2¹⁴ = 164434204583947 is a prime.

It is a super-3 number, since 3×164434204600331³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 164434204600333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (164434204600333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82217102300165 + 82217102300166.

It is an arithmetic number, because the mean of its divisors is an integer number (82217102300166).

Almost surely, 2^{164434204600331} is an apocalyptic number.

164434204600331 is a deficient number, since it is larger than the sum of its proper divisors (1).

164434204600331 is an equidigital number, since it uses as much as digits as its factorization.

164434204600331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 497664, while the sum is 41.

The spelling of 164434204600331 in words is "one hundred sixty-four trillion, four hundred thirty-four billion, two hundred four million, six hundred thousand, three hundred thirty-one".