223144217075808 has 432 divisors, whose sum is σ = 793256338418544. Its totient is φ = 59109563842560.

The previous prime is 223144217075807. The next prime is 223144217075833. The reversal of 223144217075808 is 808570712441322.

223144217075808 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 42 + 17 + 0 + 7 + 580 + 8 = 666.

223144217075808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223144217075808³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223144217075807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9132228 + ... + 23014908.

It is an arithmetic number, because the mean of its divisors is an integer number (1836241524117).

Almost surely, 2^{223144217075808} is an apocalyptic number.

223144217075808 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 223144217075808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396628169209272).

223144217075808 is an abundant number, since it is smaller than the sum of its proper divisors (570112121342736).

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

223144217075808 is a wasteful number, since it uses less digits than its factorization.

223144217075808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13882795 (or 13882777 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 223144217075808 in words is "two hundred twenty-three trillion, one hundred forty-four billion, two hundred seventeen million, seventy-five thousand, eight hundred eight".