6225618824161 has 27 divisors (see below), whose sum is σ = 6909712054329. Its totient is φ = 5605035321600.

The previous prime is 6225618824057. The next prime is 6225618824189. The reversal of 6225618824161 is 1614288165226.

The square root of 6225618824161 is 2495119.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39952414161 + 6185666410000 = 199881^2 + 2487100^2 .

It is not a de Polignac number, because 6225618824161 - 2²¹ = 6225616727009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6225618824099 and 6225618824108.

It is not an unprimeable number, because it can be changed into a prime (6225618824861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2991646641 + ... + 2991648721.

Almost surely, 2^{6225618824161} is an apocalyptic number.

6225618824161 is the 2495119-th square number.

6225618824161 is the 1247560-th centered octagonal number.

It is an amenable number.

6225618824161 is a deficient number, since it is larger than the sum of its proper divisors (684093230168).

6225618824161 is an frugal number, since it uses more digits than its factorization.

6225618824161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 2201 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 52.

The spelling of 6225618824161 in words is "six trillion, two hundred twenty-five billion, six hundred eighteen million, eight hundred twenty-four thousand, one hundred sixty-one".