223303102034144 has 192 divisors, whose sum is σ = 498093166771200. Its totient is φ = 97657761177600.

The previous prime is 223303102034123. The next prime is 223303102034191. The reversal of 223303102034144 is 441430201303322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 223303102034144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976975427 + ... + 977203965.

It is an arithmetic number, because the mean of its divisors is an integer number (2594235243600).

Almost surely, 2^{223303102034144} 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 223303102034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249046583385600).

223303102034144 is an abundant number, since it is smaller than the sum of its proper divisors (274790064737056).

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

223303102034144 is a wasteful number, since it uses less digits than its factorization.

223303102034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229537 (or 229529 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 223303102034144 its reverse (441430201303322), we get a palindrome (664733303337466).

The spelling of 223303102034144 in words is "two hundred twenty-three trillion, three hundred three billion, one hundred two million, thirty-four thousand, one hundred forty-four".