223328816256 has 768 divisors, whose sum is σ = 809727408000. Its totient is φ = 53843263488.

The previous prime is 223328816189. The next prime is 223328816257. The reversal of 223328816256 is 652618823322.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (223328816257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134778180 + ... + 134779836.

Almost surely, 2^223328816256 is an apocalyptic number.

223328816256 is a gapful number since it is divisible by the number (26) 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 223328816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404863704000).

223328816256 is an abundant number, since it is smaller than the sum of its proper divisors (586398591744).

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

223328816256 is a wasteful number, since it uses less digits than its factorization.

223328816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1730 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 223328816256 in words is "two hundred twenty-three billion, three hundred twenty-eight million, eight hundred sixteen thousand, two hundred fifty-six".