I'll count the opening parentheses "(" in this string.

Let me go through the string systematically:

```
()((()(()((()()((()))()((()(()(((()((()())))()(())()))())()(())((()()((()(()((()()((()))()((()(()(((()((()())))()(())()))())()(())((()))()(((()((()((()()((()))()((()(()(((()((()())))()(())()))())()(())(((()((()())))()(())()))())()(()))()(((()((()((()()((()))()((()(()(((()((()())))()((()((()(()((()()((()))()((()(()(((()((()())))()(())()))())()(())((()))()(((()((()((()()((()))()((()(()(((()((()())))()(())()))())()(())(((()((()())))()(())()))())()(()))()))())()(())(((()((()())))()(())()))())()((
```

Counting each "(" character:

**Total opening parentheses: 184**
