With increasing data and its computation over clouds through various mediums it has become difficult to preserve privacy and then manipulate data according to the requirements. The third-party service providers have increased to do this manipulation over the bigdata which is collected over period of time. But again, the privacy is breached when the third party is involved with data of individuals and thus mechanism of homomorphic encryption (HE) is introduced which allows computation to be done on encrypted data. The initial work on homomorphic encryption were impractical but recent work is established with efficiency over practical application latest being embedded in Microsoft Edge browser. This paper gives a brief introduction to homomorphic encryption and its categorization over libraries created over recent years. Practical implementation HE is programmed over C++ language, with recent development the trial implementation is in progress over python language also. The libraries include such as Helib, SEAL, Blyss, concrete, etc. HE is developed as future enterprise for security and privacy guard up with application slated as geofencing with keeping secrecy of location or latigo polls for scheduling the meetings. The paper will discuss some other application with reference to new developed libraries under HE.