224929976328 has 180 divisors, whose sum is σ = 652075737885. Its totient is φ = 72437328000.

The previous prime is 224929976287. The next prime is 224929976329. The reversal of 224929976328 is 823679929422.

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.

224929976328 is a `hidden beast` number, since 2 + 249 + 299 + 76 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194814538884 + 30115437444 = 441378^2 + 173538^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335358.

It is not an unprimeable number, because it can be changed into a prime (224929976329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 374259228 + ... + 374259828.

Almost surely, 2^224929976328 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 224929976328

224929976328 is an abundant number, since it is smaller than the sum of its proper divisors (427145761557).

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

224929976328 is an frugal number, since it uses more digits than its factorization.

224929976328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 637 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 224929976328 in words is "two hundred twenty-four billion, nine hundred twenty-nine million, nine hundred seventy-six thousand, three hundred twenty-eight".