34426033366993 has 2 divisors, whose sum is σ = 34426033366994. Its totient is φ = 34426033366992.

The previous prime is 34426033366759. The next prime is 34426033366999. The reversal of 34426033366993 is 39966333062443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34297620077889 + 128413289104 = 5856417^2 + 358348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34426033366993 is a prime.

It is not a weakly prime, because it can be changed into another prime (34426033366999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17213016683496 + 17213016683497.

It is an arithmetic number, because the mean of its divisors is an integer number (17213016683497).

Almost surely, 2^{34426033366993} is an apocalyptic number.

It is an amenable number.

34426033366993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34426033366993 is an equidigital number, since it uses as much as digits as its factorization.

34426033366993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136048896, while the sum is 61.

The spelling of 34426033366993 in words is "thirty-four trillion, four hundred twenty-six billion, thirty-three million, three hundred sixty-six thousand, nine hundred ninety-three".