223105163228816 has 320 divisors, whose sum is σ = 491420634566400. Its totient is φ = 97250113658880.

The previous prime is 223105163228797. The next prime is 223105163228861. The reversal of 223105163228816 is 618822361501322.

It is a happy number.

It is a super-3 number, since 3×223105163228816³ (a number of 44 digits) contains 333 as substring.

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, 34876526930 + ... + 34876533326.

It is an arithmetic number, because the mean of its divisors is an integer number (1535689483020).

Almost surely, 2^{223105163228816} 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 223105163228816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245710317283200).

223105163228816 is an abundant number, since it is smaller than the sum of its proper divisors (268315471337584).

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

223105163228816 is a wasteful number, since it uses less digits than its factorization.

223105163228816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 223105163228816 in words is "two hundred twenty-three trillion, one hundred five billion, one hundred sixty-three million, two hundred twenty-eight thousand, eight hundred sixteen".