224211110322144 has 48 divisors (see below), whose sum is σ = 642059088652800. Its totient is φ = 67942760703360.

The previous prime is 224211110322139. The next prime is 224211110322149. The reversal of 224211110322144 is 441223011112422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224211110322139) and next prime (224211110322149).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224211110322149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106160562544 + ... + 106160564655.

It is an arithmetic number, because the mean of its divisors is an integer number (13376231013600).

Almost surely, 2^{224211110322144} is an apocalyptic number.

224211110322144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224211110322144 is an abundant number, since it is smaller than the sum of its proper divisors (417847978330656).

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

224211110322144 is a wasteful number, since it uses less digits than its factorization.

224211110322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212321127223 (or 212321127215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 224211110322144 its reverse (441223011112422), we get a palindrome (665434121434566).

The spelling of 224211110322144 in words is "two hundred twenty-four trillion, two hundred eleven billion, one hundred ten million, three hundred twenty-two thousand, one hundred forty-four".