224414544000000 has 1232 divisors, whose sum is σ = 762669173959616. Its totient is φ = 58657996800000.

The previous prime is 224414543999963. The next prime is 224414544000013. The reversal of 224414544000000 is 445414422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 730991999847 + ... + 730992000153.

It is an arithmetic number, because the mean of its divisors is an integer number (619049654188).

Almost surely, 2^{224414544000000} is an apocalyptic number.

224414544000000 is a gapful number since it is divisible by the number (20) 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 224414544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381334586979808).

224414544000000 is an abundant number, since it is smaller than the sum of its proper divisors (538254629959616).

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

224414544000000 is an frugal number, since it uses more digits than its factorization.

224414544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 224414544000000 its reverse (445414422), we get a palindrome (224414989414422).

The spelling of 224414544000000 in words is "two hundred twenty-four trillion, four hundred fourteen billion, five hundred forty-four million", and thus it is an aban number.