334411222114433 has 2 divisors, whose sum is σ = 334411222114434. Its totient is φ = 334411222114432.

The previous prime is 334411222114427. The next prime is 334411222114471.

334411222114433 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (334411222114471) can be obtained adding 334411222114433 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193356478151824 + 141054743962609 = 13905268^2 + 11876647^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 334411222114433 - 2¹⁸ = 334411221852289 is a prime.

It is a super-2 number, since 2×334411222114433² (a number of 30 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (334411222114483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167205611057216 + 167205611057217.

It is an arithmetic number, because the mean of its divisors is an integer number (167205611057217).

Almost surely, 2^{334411222114433} is an apocalyptic number.

It is an amenable number.

334411222114433 is a deficient number, since it is larger than the sum of its proper divisors (1).

334411222114433 is an equidigital number, since it uses as much as digits as its factorization.

334411222114433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 38.

The spelling of 334411222114433 in words is "three hundred thirty-four trillion, four hundred eleven billion, two hundred twenty-two million, one hundred fourteen thousand, four hundred thirty-three".