224577228781801 has 9 divisors (see below), whose sum is σ = 261243020815101. Its totient is φ = 192494677611852.

The previous prime is 224577228781579. The next prime is 224577228781849. The reversal of 224577228781801 is 108187822775422.

The square root of 224577228781801 is 14985901.

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

It is not a de Polignac number, because 224577228781801 - 2¹⁹ = 224577228257513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224577228781501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103830886 + ... + 105971728.

It is an arithmetic number, because the mean of its divisors is an integer number (29027002312789).

Almost surely, 2^{224577228781801} is an apocalyptic number.

224577228781801 is the 14985901-st square number.

224577228781801 is the 7492951-st centered octagonal number.

It is an amenable number.

224577228781801 is a deficient number, since it is larger than the sum of its proper divisors (36665792033300).

224577228781801 is an frugal number, since it uses more digits than its factorization.

224577228781801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281700 (or 2140850 counting only the distinct ones).

The product of its (nonzero) digits is 56197120, while the sum is 64.

The spelling of 224577228781801 in words is "two hundred twenty-four trillion, five hundred seventy-seven billion, two hundred twenty-eight million, seven hundred eighty-one thousand, eight hundred one".