Programming

If possible, set everything on silent. This of course is by assumption that you are allowed to do that. If, however, your company requires you to keep the notifications on, and reply as fast as possible, I'd present the issue of constant titifications in general being an issue to everybody (everyone will need to unadjust, and readjust, to their work when they look up the source of the notification). I'd fathom one could be able to set e-mail to notify you only if the mail is set as important, and the company suggested to punish the missuse of important -tag.

Alternatively, you can declare that if something needs specificly your attention, to use communication method x, and have everything else muted, and checked manually whenever you need to take your eyes off the code. That won't eliminate the problem, but will hopefully reduce it. If the higer ups have an issue with this, tell them the repeated interuptions cost money.