224881485610401 has 9 divisors (see below), whose sum is σ = 324828877531249. Its totient is φ = 149920960414836.

The previous prime is 224881485610391. The next prime is 224881485610451. The reversal of 224881485610401 is 104016584188422.

The square root of 224881485610401 is 14996049.

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

224881485610401 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 8 + 14 + 8 + 5 + 610 + 4 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 224881485610401 - 2⁹ = 224881485609889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224881485610451) 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, 42488806 + ... + 47487488.

Almost surely, 2^{224881485610401} is an apocalyptic number.

224881485610401 is the 14996049-th square number.

224881485610401 is the 7498025-th centered octagonal number.

It is an amenable number.

224881485610401 is a deficient number, since it is larger than the sum of its proper divisors (99947391920848).

224881485610401 is an frugal number, since it uses more digits than its factorization.

224881485610401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997372 (or 4998686 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 224881485610401 in words is "two hundred twenty-four trillion, eight hundred eighty-one billion, four hundred eighty-five million, six hundred ten thousand, four hundred one".