4822086605625 has 405 divisors, whose sum is σ = 9748179594153. Its totient is φ = 2295707832000.

The previous prime is 4822086605599. The next prime is 4822086605653. The reversal of 4822086605625 is 5265066802284.

The square root of 4822086605625 is 2195925.

It is a perfect power (a square), and thus also a powerful number.

4822086605625 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 0 + 8 + 6 + 6 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 378051589881 + 4444035015744 = 614859^2 + 2108088^2 .

It is not a de Polignac number, because 4822086605625 - 2⁹ = 4822086605113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 71971441842 + ... + 71971441908.

Almost surely, 2^{4822086605625} is an apocalyptic number.

4822086605625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4822086605625 is the 2195925-th square number.

4822086605625 is the 1097963-rd centered octagonal number.

It is an amenable number.

4822086605625 is an abundant number, since it is smaller than the sum of its proper divisors (4926092988528).

4822086605625 is an equidigital number, since it uses as much as digits as its factorization.

4822086605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 4822086605625 in words is "four trillion, eight hundred twenty-two billion, eighty-six million, six hundred five thousand, six hundred twenty-five".