With bitcoin, we are our own bank. So the safety and security of our funds lies within us, our capability to keep and store our bitcoin privately and securely, which we cannot expect from banks to do it with fiat.
Furthermore, bitcoin is decentralized, so it has nothing to do with big names and companies that could back-up bitcoin but the control is given to us solely. This is the best chance for us to accumulate maximum amount without the interruption of other group or entity, unlike fiat that is monitored by the government and banks.
The biggest advantage of Bitcoin that I can think of is its decentralization. There are many other ways of managing your funds yourself, but Bitcoin comes with the fact that you have control over your money, and there is no central authority to know anything about it because it's completely decentralized. No one will ever know how much money you have if you have it in Bitcoin unless you specifically show your wallet to someone or reveal it yourself. That's the beauty of Bitcoin that so many people don't know yet, because they only think about profits.
If everyone who are currently interested in Bitcoin and are frequently making investments also think about its use cases and how useful it is, they will be more fond of its properties than its value. I know, it's value is intriguing as well and it's a good thing, but Bitcoin's actual value is in its decentralization.