23201233204224 has 176 divisors, whose sum is σ = 62649820409600. Its totient is φ = 7632521035776.

The previous prime is 23201233204213. The next prime is 23201233204283. The reversal of 23201233204224 is 42240233210232.

It is a junction number, because it is equal to n+sod(n) for n = 23201233204191 and 23201233204200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591411042 + ... + 591450270.

Almost surely, 2^{23201233204224} is an apocalyptic number.

23201233204224 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 23201233204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31324910204800).

23201233204224 is an abundant number, since it is smaller than the sum of its proper divisors (39448587205376).

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

23201233204224 is a wasteful number, since it uses less digits than its factorization.

23201233204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41768 (or 41750 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23201233204224 its reverse (42240233210232), we get a palindrome (65441466414456).

The spelling of 23201233204224 in words is "twenty-three trillion, two hundred one billion, two hundred thirty-three million, two hundred four thousand, two hundred twenty-four".