Filing: Anthropic's IPO could give it an up to $1.405T valuation on a fully diluted basis, up from the $965B valuation during its $65B Series H announced in May (Ashley Capoot/CNBC)

Anthropic, the creator of the Claude chatbot, is aiming to raise up to $90.4 billion in its highly anticipated IPO and private placement, potentially setting a record for the first-time share sale of AI stocks. In its initial public offering, the company plans to issue approximately 801.4 million shares at a price range of $70 to $78 per share, according to a filing with the US Securities and Exchange Commission.

Backers of Anthropic, including technology giants like Advanced Micro Devices, Broadcom, Alphabet, Microsoft, Nvidia, and Taiwan Semiconductor Manufacturing Company, will also participate in a private placement worth $26 billion. If successful, Anthropic's valuation could reach a staggering $1 trillion, surpassing SpaceX's $75 billion offering in June.

Despite a recent downturn in AI-related stocks worth around $2.5 trillion, Anthropic has defied investor concerns with its ambitious target, driven by a surge in sales. The company's third-quarter revenue reached nearly $17 billion, up from $1.4 billion the previous year, thanks to new versions of its Mythos and Fable models.