Several architectures have been recently proposed that store relational data in encrypted form on untrusted relational databases. Such architectures permit the creation of novel Internet services and also offer an opportunity for a better construction of ASP solutions. Environments where there are limited resources that do not permit an efficient management of databases or where it is critical to offer a robust Internet access to private data may all benefit from the above architectures. In this paper we analyze the impact that this architecture has on the typical services of a database. The analysis is based on the experience gained in the construction of a prototype of a complete architecture for the management of encrypted databases. Specifically, we illustrate the impact on query translation and optimization, and the main components of the software architecture of the prototype.