223242121131344 has 80 divisors (see below), whose sum is σ = 498905836851840. Its totient is φ = 94788141719040.

The previous prime is 223242121131269. The next prime is 223242121131427. The reversal of 223242121131344 is 443131121242322.

It is a super-3 number, since 3×223242121131344³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124276859 + ... + 126060389.

It is an arithmetic number, because the mean of its divisors is an integer number (6236322960648).

Almost surely, 2^{223242121131344} 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 223242121131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249452918425920).

223242121131344 is an abundant number, since it is smaller than the sum of its proper divisors (275663715720496).

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

223242121131344 is a wasteful number, since it uses less digits than its factorization.

223242121131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793908 (or 1793902 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

Adding to 223242121131344 its reverse (443131121242322), we get a palindrome (666373242373666).

The spelling of 223242121131344 in words is "two hundred twenty-three trillion, two hundred forty-two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred forty-four".