Use an Awk
as below,
awk '{ seen[$1] += $2 } END { for (i in seen) print i, seen[i] }' file1
1486113768 9936
1486113769 6160736
1486113770 5122176
1486113772 4096832
1486113773 9229920
1486113774 8568888
{seen[$1]+=$2}
creates a hash-map with the $1
being treated as the index value and the sum is incremented only for those unique items from $1
in the file.