I've had my new iPhone6S + for 2 weeks and last night it just went totally dead. The battery was about 65% full, it was sitting on my bedside table and working fine, then when I went to make a call about 15 mins later it was totally dead. Home button not working, on/off button not working, nothing happening. Quick troll around the internet lead me to try home & on/off button at the same time as a 'hard reboot'. This did bring it back to life.
Now I'm a bit worried that there is an intermittent fault - anyone else experienced this with their new phones?