Display current date and time without punctuation

Here you go:

date +%Y%m%d%H%M%S

As man date says near the top, you can use the date command like this:

date [OPTION]... [+FORMAT]

That is, you can give it a format parameter, starting with a +.
You can probably guess the meaning of the formatting symbols I used:

• %Y is for year
• %m is for month
• %d is for day
• … and so on

You can find this, and other formatting symbols in man date.