Litecoin Core Client is an online wallet specially developed and designed by litecoin team. It was formerly named Litecoin - Qt, it doesn't have Android or ios mobile version but it is available to be use on windows, Linux and Mac operating system.
To use it one need at least 20 gigabytes of free HDD space on one's computer. Because of the use of Hierarchical Deterministic (HD), litecoin core use to synced with litecoin network on blockchain this makes the transaction one of the fastest in the market and due to segwit integration the fee is lower.
The HD option also generates multiple addresses so that one doesn't need to reuse the already used address, as a result it protect the user to a degree because it can not be trace, it also works well with Tor network.
It is also good to note that it is an open source wallet which means one has to keep the password and private key very well. The wallet also has behind it good customer support service.