334466777664433 has 2 divisors, whose sum is σ = 334466777664434. Its totient is φ = 334466777664432.

The previous prime is 334466777664391. The next prime is 334466777664443.

It is a happy number.

334466777664433 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295506310948209 + 38960466716224 = 17190297^2 + 6241832^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334466777664433 is a prime.

It is a super-3 number, since 3×334466777664433³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (334466777664443) 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, 167233388832216 + 167233388832217.

It is an arithmetic number, because the mean of its divisors is an integer number (167233388832217).

Almost surely, 2^{334466777664433} is an apocalyptic number.

It is an amenable number.

334466777664433 is a deficient number, since it is larger than the sum of its proper divisors (1).

334466777664433 is an equidigital number, since it uses as much as digits as its factorization.

334466777664433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9217732608, while the sum is 73.

The spelling of 334466777664433 in words is "three hundred thirty-four trillion, four hundred sixty-six billion, seven hundred seventy-seven million, six hundred sixty-four thousand, four hundred thirty-three".