224353530368 has 150 divisors (see below), whose sum is σ = 495959417745. Its totient is φ = 101389404160.

The previous prime is 224353530353. The next prime is 224353530397. The reversal of 224353530368 is 863035353422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 176494092544 + 47859437824 = 420112^2 + 218768^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334928.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1296841130 + ... + 1296841302.

Almost surely, 2^224353530368 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 224353530368

224353530368 is an abundant number, since it is smaller than the sum of its proper divisors (271605887377).

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

224353530368 is an frugal number, since it uses more digits than its factorization.

224353530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 224353530368 in words is "two hundred twenty-four billion, three hundred fifty-three million, five hundred thirty thousand, three hundred sixty-eight".