223045520144000 has 256 divisors, whose sum is σ = 560823106989600. Its totient is φ = 88210302566400.

The previous prime is 223045520143991. The next prime is 223045520144021. The reversal of 223045520144000 is 441025540322.

It can be written as a sum of positive squares in 16 ways, for example, as 7158450078784 + 215887070065216 = 2675528^2 + 14693096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1565896784 + ... + 1566039216.

Almost surely, 2^{223045520144000} is an apocalyptic number.

223045520144000 is a gapful number since it is divisible by the number (20) 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 223045520144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280411553494800).

223045520144000 is an abundant number, since it is smaller than the sum of its proper divisors (337777586845600).

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

223045520144000 is a wasteful number, since it uses less digits than its factorization.

223045520144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143568 (or 143546 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 223045520144000 its reverse (441025540322), we get a palindrome (223486545684322).

The spelling of 223045520144000 in words is "two hundred twenty-three trillion, forty-five billion, five hundred twenty million, one hundred forty-four thousand".