223302144121344 has 320 divisors, whose sum is σ = 707735402035200. Its totient is φ = 69268426850304.

The previous prime is 223302144121321. The next prime is 223302144121403. The reversal of 223302144121344 is 443121441203322.

223302144121344 is a `hidden beast` number, since 2 + 2 + 3 + 302 + 1 + 4 + 4 + 1 + 2 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223302144121299 and 223302144121308.

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, 15577569 + ... + 26253855.

It is an arithmetic number, because the mean of its divisors is an integer number (2211673131360).

Almost surely, 2^{223302144121344} is an apocalyptic number.

223302144121344 is a gapful number since it is divisible by the number (24) 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 223302144121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353867701017600).

223302144121344 is an abundant number, since it is smaller than the sum of its proper divisors (484433257913856).

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

223302144121344 is a wasteful number, since it uses less digits than its factorization.

223302144121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676420 (or 10676398 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 223302144121344 its reverse (443121441203322), we get a palindrome (666423585324666).

The spelling of 223302144121344 in words is "two hundred twenty-three trillion, three hundred two billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred forty-four".