33984329433653 has 2 divisors, whose sum is σ = 33984329433654. Its totient is φ = 33984329433652.

The previous prime is 33984329433623. The next prime is 33984329433667. The reversal of 33984329433653 is 35633492348933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25673343870769 + 8310985562884 = 5066887^2 + 2882878^2 .

It is a cyclic number.

It is not a de Polignac number, because 33984329433653 - 2¹⁰ = 33984329432629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33984329433653.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33984329433623) 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, 16992164716826 + 16992164716827.

It is an arithmetic number, because the mean of its divisors is an integer number (16992164716827).

Almost surely, 2^{33984329433653} is an apocalyptic number.

It is an amenable number.

33984329433653 is a deficient number, since it is larger than the sum of its proper divisors (1).

33984329433653 is an equidigital number, since it uses as much as digits as its factorization.

33984329433653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 453496320, while the sum is 65.

The spelling of 33984329433653 in words is "thirty-three trillion, nine hundred eighty-four billion, three hundred twenty-nine million, four hundred thirty-three thousand, six hundred fifty-three".