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When I build a private chain setup, what is the maximum Geth ethereum I can have for the life of the network. Another way of asking the question would be: What is the maximum ethereum one account can have? What is the maximum ethereum all accounts collectively can have? On the same note, what is the maximum number of blocks I can have?

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This is an interesting question! Let's look at each question in particular:

Max number of blocks

Theoretically there should be no upper limit since the chain of blocks must be able to continually grow over time. However, since the block number is stored as a finite integer, there is a limit to how high this number can be. See the full discussion in this related question.

Max number of ETH

I ran a little experiment using ganache-cli locally, which is a good proxy for geth since it is governed by the same rules of the game. See what was allowed by ganache:

ganache-cli --defaultBalanceEther 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

And it can go on like this for a long time. You can query the balance of the accounts with web3 for example:

> web3.eth.getBalance(web3.eth.accounts[0])
BigNumber { s: 1, e: 619, c: [ 1000 ] }

BigNumber can get you a long way. But I'm curious to know what the Ethereum protocol itself specifies for maximum balance / transaction amount.

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