224457305120550 has 144 divisors (see below), whose sum is σ = 612988609289472. Its totient is φ = 58870782590400.

The previous prime is 224457305120539. The next prime is 224457305120551. The reversal of 224457305120550 is 55021503754422.

It is a happy number.

224457305120550 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 5 + 73 + 0 + 5 + 1 + 20 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 224457305120496 and 224457305120505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224457305120551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13753815 + ... + 25260285.

It is an arithmetic number, because the mean of its divisors is an integer number (4256865342288).

Almost surely, 2^{224457305120550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224457305120550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306494304644736).

224457305120550 is an abundant number, since it is smaller than the sum of its proper divisors (388531304168922).

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

224457305120550 is a wasteful number, since it uses less digits than its factorization.

224457305120550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11507203 (or 11507195 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

Adding to 224457305120550 its reverse (55021503754422), we get a palindrome (279478808874972).

The spelling of 224457305120550 in words is "two hundred twenty-four trillion, four hundred fifty-seven billion, three hundred five million, one hundred twenty thousand, five hundred fifty".