True. The Chinese English dictionary I use covers modern vernacular and ancient idiomatic language, there are 122,000+ entries. Many characters have an equivalent full form. So, this number would be greater, taking that into account. It is the equivalent of a full dictionary of English words and phrases and includes particles (the components of characters) which can also be typed, have unicode.

Characters are essentially idiogram similar to (but not the same as) looking at words, so characters and there constituent parts are not really anything like a one to one with an alphabet. Each word (generally) is disyllabic, or bound in two character groups and is additive, equivalent to compound words in English.

water particle 氵 water 水 wood 木 tree 树 forest 森林 toothpaste 刷牙高 football 足球 landscape design 园林设计 landscape design 園林設計 (full form)

So, my point being, character input is more like having a dictionary through predictive input (pinyin.)