223966616328 has 512 divisors, whose sum is σ = 787906560000. Its totient is φ = 58571009280.

The previous prime is 223966616327. The next prime is 223966616371. The reversal of 223966616328 is 823616669322.

It is a happy number.

It is a super-2 number, since 2×223966616328² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223966616327) 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 127 ways as a sum of consecutive naturals, for example, 122318373 + ... + 122320203.

It is an arithmetic number, because the mean of its divisors is an integer number (1538880000).

Almost surely, 2^223966616328 is an apocalyptic number.

223966616328 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 223966616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393953280000).

223966616328 is an abundant number, since it is smaller than the sum of its proper divisors (563939943672).

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

223966616328 is a wasteful number, since it uses less digits than its factorization.

223966616328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1983 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 223966616328 in words is "two hundred twenty-three billion, nine hundred sixty-six million, six hundred sixteen thousand, three hundred twenty-eight".