34011109105693 has 2 divisors, whose sum is σ = 34011109105694. Its totient is φ = 34011109105692.

The previous prime is 34011109105691. The next prime is 34011109105711. The reversal of 34011109105693 is 39650190111043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23672331238084 + 10338777867609 = 4865422^2 + 3215397^2 .

It is a cyclic number.

It is not a de Polignac number, because 34011109105693 - 2¹ = 34011109105691 is a prime.

Together with 34011109105691, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34011109105691) 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, 17005554552846 + 17005554552847.

It is an arithmetic number, because the mean of its divisors is an integer number (17005554552847).

Almost surely, 2^{34011109105693} is an apocalyptic number.

It is an amenable number.

34011109105693 is a deficient number, since it is larger than the sum of its proper divisors (1).

34011109105693 is an equidigital number, since it uses as much as digits as its factorization.

34011109105693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 34011109105693 in words is "thirty-four trillion, eleven billion, one hundred nine million, one hundred five thousand, six hundred ninety-three".