21834066798833 has 2 divisors, whose sum is σ = 21834066798834. Its totient is φ = 21834066798832.

The previous prime is 21834066798773. The next prime is 21834066798893. The reversal of 21834066798833 is 33889766043812.

It is a balanced prime because it is at equal distance from previous prime (21834066798773) and next prime (21834066798893).

It can be written as a sum of positive squares in only one way, i.e., 21638201249344 + 195865549489 = 4651688^2 + 442567^2 .

It is a cyclic number.

It is not a de Polignac number, because 21834066798833 - 2¹⁴ = 21834066782449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (21834066798893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10917033399416 + 10917033399417.

It is an arithmetic number, because the mean of its divisors is an integer number (10917033399417).

Almost surely, 2^{21834066798833} is an apocalyptic number.

It is an amenable number.

21834066798833 is a deficient number, since it is larger than the sum of its proper divisors (1).

21834066798833 is an equidigital number, since it uses as much as digits as its factorization.

21834066798833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 250822656, while the sum is 68.

The spelling of 21834066798833 in words is "twenty-one trillion, eight hundred thirty-four billion, sixty-six million, seven hundred ninety-eight thousand, eight hundred thirty-three".