224072441288352 has 384 divisors, whose sum is σ = 674085025797120. Its totient is φ = 72376337940480.

The previous prime is 224072441288329. The next prime is 224072441288363. The reversal of 224072441288352 is 253882144270422.

It is a happy number.

224072441288352 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 7 + 2 + 4 + 4 + 1 + 288 + 352 = 666.

It is a super-2 number, since 2×224072441288352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4317944518 + ... + 4317996410.

It is an arithmetic number, because the mean of its divisors is an integer number (1755429754680).

Almost surely, 2^{224072441288352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224072441288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337042512898560).

224072441288352 is an abundant number, since it is smaller than the sum of its proper divisors (450012584508768).

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

224072441288352 is a wasteful number, since it uses less digits than its factorization.

224072441288352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53013 (or 52999 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 224072441288352 in words is "two hundred twenty-four trillion, seventy-two billion, four hundred forty-one million, two hundred eighty-eight thousand, three hundred fifty-two".