224311022240144 has 80 divisors (see below), whose sum is σ = 505595755157760. Its totient is φ = 94423654195200.

The previous prime is 224311022240099. The next prime is 224311022240177. The reversal of 224311022240144 is 441042220113422.

It is a self number, because there is not a number n which added to its sum of digits gives 224311022240144.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73008449 + ... + 76018784.

It is an arithmetic number, because the mean of its divisors is an integer number (6319946939472).

Almost surely, 2^{224311022240144} is an apocalyptic number.

It is an amenable number.

224311022240144 is an abundant number, since it is smaller than the sum of its proper divisors (281284732917616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224311022240144 is a wasteful number, since it uses less digits than its factorization.

224311022240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149027488 (or 149027482 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 224311022240144 its reverse (441042220113422), we get a palindrome (665353242353566).

The spelling of 224311022240144 in words is "two hundred twenty-four trillion, three hundred eleven billion, twenty-two million, two hundred forty thousand, one hundred forty-four".