224311124401 has 12 divisors (see below), whose sum is σ = 281005145652. Its totient is φ = 177476933088.

The previous prime is 224311124371. The next prime is 224311124441. The reversal of 224311124401 is 104421113422.

224311124401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 69023900176 + 155287224225 = 262724^2 + 394065^2 .

It is not a de Polignac number, because 224311124401 - 2¹³ = 224311116209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224311124441) 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 11 ways as a sum of consecutive naturals, for example, 176067750 + ... + 176069023.

It is an arithmetic number, because the mean of its divisors is an integer number (23417095471).

Almost surely, 2^224311124401 is an apocalyptic number.

It is an amenable number.

224311124401 is a deficient number, since it is larger than the sum of its proper divisors (56694021251).

224311124401 is a wasteful number, since it uses less digits than its factorization.

224311124401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352136800 (or 352136793 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 224311124401 its reverse (104421113422), we get a palindrome (328732237823).

The spelling of 224311124401 in words is "two hundred twenty-four billion, three hundred eleven million, one hundred twenty-four thousand, four hundred one".