22533135240450 has 192 divisors, whose sum is σ = 57075886909440. Its totient is φ = 5881656464640.

The previous prime is 22533135240443. The next prime is 22533135240481. The reversal of 22533135240450 is 5404253133522.

It is a junction number, because it is equal to n+sod(n) for n = 22533135240399 and 22533135240408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5749713591 + ... + 5749717509.

It is an arithmetic number, because the mean of its divisors is an integer number (297270244320).

Almost surely, 2^{22533135240450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22533135240450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28537943454720).

22533135240450 is an abundant number, since it is smaller than the sum of its proper divisors (34542751668990).

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

22533135240450 is a wasteful number, since it uses less digits than its factorization.

22533135240450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7481 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 22533135240450 its reverse (5404253133522), we get a palindrome (27937388373972).

The spelling of 22533135240450 in words is "twenty-two trillion, five hundred thirty-three billion, one hundred thirty-five million, two hundred forty thousand, four hundred fifty".