33002414412481 has 2 divisors, whose sum is σ = 33002414412482. Its totient is φ = 33002414412480.

The previous prime is 33002414412379. The next prime is 33002414412559. The reversal of 33002414412481 is 18421441420033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20708688462400 + 12293725950081 = 4550680^2 + 3506241^2 .

It is an emirp because it is prime and its reverse (18421441420033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33002414412481 - 2⁷ = 33002414412353 is a prime.

It is a super-2 number, since 2×33002414412481² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33002414412481.

It is not a weakly prime, because it can be changed into another prime (33002414472481) 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, 16501207206240 + 16501207206241.

It is an arithmetic number, because the mean of its divisors is an integer number (16501207206241).

Almost surely, 2^{33002414412481} is an apocalyptic number.

It is an amenable number.

33002414412481 is a deficient number, since it is larger than the sum of its proper divisors (1).

33002414412481 is an equidigital number, since it uses as much as digits as its factorization.

33002414412481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 33002414412481 in words is "thirty-three trillion, two billion, four hundred fourteen million, four hundred twelve thousand, four hundred eighty-one".