It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 629 174 is not a prime number.
For example, 8 629 174 can be divided by 2: 8 629 174 / 2 = 4 314 587.
For 8 629 174 to be a prime number, it would have been required that 8 629 174 has only two divisors, i.e., itself and 1.
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8 629 174 is an even number, because it is evenly divisible by 2: 8 629 174 / 2 = 4 314 587.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 8 629 174 is about 2 937.546.
Thus, the square root of 8 629 174 is not an integer, and therefore 8 629 174 is not a square number.
The square of a number (here 8 629 174) is the result of the product of this number (8 629 174) by itself (i.e., 8 629 174 × 8 629 174); the square of 8 629 174 is sometimes called "raising 8 629 174 to the power 2", or "8 629 174 squared".
The square of 8 629 174 is 74 462 643 922 276 because 8 629 174 × 8 629 174 = 8 629 1742 = 74 462 643 922 276.
As a consequence, 8 629 174 is the square root of 74 462 643 922 276.
The multiples of 8 629 174 are all integers evenly divisible by 8 629 174, that is all numbers such that the remainder of the division by 8 629 174 is zero. There are infinitely many multiples of 8 629 174. The smallest multiples of 8 629 174 are: