Question about visa

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Not sure where to ask this but thIs is my issue

I want to go to Russia for LL but the max an American citizen can stay is 6 months per stay under a business visa.

To get the business visa you have to submit your name, birthdate, address, place of employment and I think a couple of other things.

My issue is with the place of employment. I do not want anyone to know I am doing this surgery.
I would like to know from people that have gone through this process if the Place where I am going to get the surgery calls my job and if so what do they say or ask? 

Is there another way to get the business visa without either putting your job or with out needing to have the hospital request a business visa?

Also how long does it take for this visa process to happen?

thanks

Edit Post

It is on the Russian consulate website. Due to a revised agreement between US and Russia, 180 days is the max. This is for US citizens.  Not sure about othet countries. I also verified in person with travel agencies.