22282846461841 has 27 divisors (see below), whose sum is σ = 26218840595889. Its totient is φ = 18882488220288.

The previous prime is 22282846461803. The next prime is 22282846461871. The reversal of 22282846461841 is 14816464828222.

The square root of 22282846461841 is 4720471.

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 16493548500625 + 5789297961216 = 4061225^2 + 2406096^2 .

It is not a de Polignac number, because 22282846461841 - 2⁷ = 22282846461713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22282846461871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2940849645 + ... + 2940857221.

Almost surely, 2^{22282846461841} is an apocalyptic number.

22282846461841 is the 4720471-st square number.

22282846461841 is the 2360236-th centered octagonal number.

It is an amenable number.

22282846461841 is a deficient number, since it is larger than the sum of its proper divisors (3935994134048).

22282846461841 is an frugal number, since it uses more digits than its factorization.

22282846461841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 7673 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 58.

The spelling of 22282846461841 in words is "twenty-two trillion, two hundred eighty-two billion, eight hundred forty-six million, four hundred sixty-one thousand, eight hundred forty-one".