224666320896 has 320 divisors, whose sum is σ = 679476600000. Its totient is φ = 73345794048.

The previous prime is 224666320891. The next prime is 224666320897. The reversal of 224666320896 is 698023666422.

It is a happy number.

224666320896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (224666320891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 835190650 + ... + 835190918.

It is an arithmetic number, because the mean of its divisors is an integer number (2123364375).

Almost surely, 2^224666320896 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 224666320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339738300000).

224666320896 is an abundant number, since it is smaller than the sum of its proper divisors (454810279104).

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

224666320896 is an frugal number, since it uses more digits than its factorization.

224666320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 224666320896 in words is "two hundred twenty-four billion, six hundred sixty-six million, three hundred twenty thousand, eight hundred ninety-six".