223675507328 has 288 divisors, whose sum is σ = 594361092060. Its totient is φ = 83275186176.

The previous prime is 223675507313. The next prime is 223675507331. The reversal of 223675507328 is 823705576322.

223675507328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40484659264 + 183190848064 = 201208^2 + 428008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18013250 + ... + 18025662.

Almost surely, 2^223675507328 is an apocalyptic number.

223675507328 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 223675507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297180546030).

223675507328 is an abundant number, since it is smaller than the sum of its proper divisors (370685584732).

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

223675507328 is a wasteful number, since it uses less digits than its factorization.

223675507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12484 (or 12452 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 223675507328 in words is "two hundred twenty-three billion, six hundred seventy-five million, five hundred seven thousand, three hundred twenty-eight".