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It is a local rate number, you will often be charged even if you have a package including free local calls though.
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The cost of calling an 0845 number is usually higher than calling a geographic 01 or 02 number. 0845 is not included in call plans offering “free national calls”.
Prices include VAT. For BT, it’s currently 2ppm in the day and 0.5ppm in the evening. There’s a table of costs for each network (and mobiles) in the link below.