224314241012312 has 64 divisors (see below), whose sum is σ = 463265012845440. Its totient is φ = 100974883609600.

The previous prime is 224314241012287. The next prime is 224314241012317. The reversal of 224314241012312 is 213210142413422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224314241012317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24717143 + ... + 32550969.

It is an arithmetic number, because the mean of its divisors is an integer number (7238515825710).

Almost surely, 2^{224314241012312} is an apocalyptic number.

224314241012312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224314241012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231632506422720).

224314241012312 is an abundant number, since it is smaller than the sum of its proper divisors (238950771833128).

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

224314241012312 is a wasteful number, since it uses less digits than its factorization.

224314241012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836992 (or 7836988 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 224314241012312 its reverse (213210142413422), we get a palindrome (437524383425734).

The spelling of 224314241012312 in words is "two hundred twenty-four trillion, three hundred fourteen billion, two hundred forty-one million, twelve thousand, three hundred twelve".