What is the total amount of public IPv4 addresses?

According to Reserved IP addresses there are 588,514,304 reserved addresses and since there are 4,294,967,296 (2^32) IPv4 addressess in total, there are 3,706,452,992 public addresses.

And too many addresses in this post.

https://www.ripe.net/internet-coordination/press-centre/understanding-ip-addressing

For IPv4, this pool is 32-bits (2³²) in size and contains 4,294,967,296 IPv4 addresses.

In case of IPv6

The IPv6 address space is 128-bits (2¹²⁸) in size, containing 340,282,366,920,938,463,463,374,607,431,768,211,456 IPv6 addresses.

inclusive of RESERVED IP

 Reserved address blocks
 Range  Description Reference

 0.0.0.0/8  Current network (only valid as source address)  RFC 6890
 10.0.0.0/8 Private network RFC 1918
 100.64.0.0/10  Shared Address Space    RFC 6598
 127.0.0.0/8    Loopback    RFC 6890
 169.254.0.0/16 Link-local  RFC 3927
 172.16.0.0/12  Private network RFC 1918
 192.0.0.0/24   IETF Protocol Assignments   RFC 6890
 192.0.2.0/24   TEST-NET-1, documentation and examples  RFC 5737
 192.88.99.0/24 IPv6 to IPv4 relay (includes 2002::/16) RFC 3068
 192.168.0.0/16 Private network RFC 1918
 198.18.0.0/15  Network benchmark tests RFC 2544
 198.51.100.0/24    TEST-NET-2, documentation and examples  RFC 5737
 203.0.113.0/24 TEST-NET-3, documentation and examples  RFC 5737
 224.0.0.0/4    IP multicast (former Class D network)   RFC 5771
 240.0.0.0/4    Reserved (former Class E network)   RFC 1700
 255.255.255.255    Broadcast   RFC 919

wiki has full details and this has details of IPv6.