The companion to 4444 — an I2P router's HTTPS proxy, meant for localhost only.
IANA registers 4445 as UPNOTIFYP, which you will not encounter. In practice the port belongs to I2P: a router's HTTPS proxy tunnel listens on 4445 while the HTTP proxy uses 4444, and browsers are configured to point at both. Both are managed from the router console's i2ptunnel page and listen on the loopback interface by default. Seeing 4445 on a host almost always means an I2P router is running there.
Do not expose
It is a local proxy tunnel — exposing it hands strangers a route through your I2P router and deanonymises nothing but you.
$ nc -vz -w 3 TARGET 4445Seen this on your network? Beige Box scans your Wi-Fi and shows every open port on every device — and its Ports tool links straight back here.
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Corrections or a missing port? Reply @rimrocksystems.