223306288128 has 704 divisors, whose sum is σ = 853176499200. Its totient is φ = 55986094080.

The previous prime is 223306288111. The next prime is 223306288147. The reversal of 223306288128 is 821882603322.

It is a happy number.

223306288128 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 0 + 628 + 8 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61736176 + ... + 61739792.

Almost surely, 2^223306288128 is an apocalyptic number.

223306288128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223306288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426588249600).

223306288128 is an abundant number, since it is smaller than the sum of its proper divisors (629870211072).

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

223306288128 is a wasteful number, since it uses less digits than its factorization.

223306288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 223306288128 in words is "two hundred twenty-three billion, three hundred six million, two hundred eighty-eight thousand, one hundred twenty-eight".