Krithika (कृत्तिका) is the Sanskrit name for the Pleiades star cluster — the third of the 27 nakshatras in Vedic astrology. In Hindu mythology, the Krittikas were the six foster mothers of the war god Kartikeya.
Krithika is widely used in South India.
Krithika does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Krithika reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.