336542666245633 has 2 divisors, whose sum is σ = 336542666245634. Its totient is φ = 336542666245632.

The previous prime is 336542666245573. The next prime is 336542666245657.

336542666245633 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., 310260464380944 + 26282201864689 = 17614212^2 + 5126617^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 336542666245633 - 2¹⁷ = 336542666114561 is a prime.

It is a super-3 number, since 3×336542666245633³ (a number of 45 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 (336542666245033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168271333122816 + 168271333122817.

It is an arithmetic number, because the mean of its divisors is an integer number (168271333122817).

Almost surely, 2^{336542666245633} is an apocalyptic number.

It is an amenable number.

336542666245633 is a deficient number, since it is larger than the sum of its proper divisors (1).

336542666245633 is an equidigital number, since it uses as much as digits as its factorization.

336542666245633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1007769600, while the sum is 64.

The spelling of 336542666245633 in words is "three hundred thirty-six trillion, five hundred forty-two billion, six hundred sixty-six million, two hundred forty-five thousand, six hundred thirty-three".