33910805936849 has 2 divisors, whose sum is σ = 33910805936850. Its totient is φ = 33910805936848.

The previous prime is 33910805936743. The next prime is 33910805936911. The reversal of 33910805936849 is 94863950801933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30070746342400 + 3840059594449 = 5483680^2 + 1959607^2 .

It is a cyclic number.

It is not a de Polignac number, because 33910805936849 - 2¹² = 33910805932753 is a prime.

It is a super-2 number, since 2×33910805936849² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33910805906849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16955402968424 + 16955402968425.

It is an arithmetic number, because the mean of its divisors is an integer number (16955402968425).

Almost surely, 2^{33910805936849} is an apocalyptic number.

It is an amenable number.

33910805936849 is a deficient number, since it is larger than the sum of its proper divisors (1).

33910805936849 is an equidigital number, since it uses as much as digits as its factorization.

33910805936849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151165440, while the sum is 68.

The spelling of 33910805936849 in words is "thirty-three trillion, nine hundred ten billion, eight hundred five million, nine hundred thirty-six thousand, eight hundred forty-nine".