22531305144450 has 192 divisors, whose sum is σ = 59598516700800. Its totient is φ = 5613485322240.

The previous prime is 22531305144431. The next prime is 22531305144499. The reversal of 22531305144450 is 5444150313522.

It is a junction number, because it is equal to n+sod(n) for n = 22531305144399 and 22531305144408.

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, 643237837 + ... + 643272863.

It is an arithmetic number, because the mean of its divisors is an integer number (310408941150).

Almost surely, 2^{22531305144450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22531305144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29799258350400).

22531305144450 is an abundant number, since it is smaller than the sum of its proper divisors (37067211556350).

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

22531305144450 is a wasteful number, since it uses less digits than its factorization.

22531305144450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36901 (or 36896 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 22531305144450 its reverse (5444150313522), we get a palindrome (27975455457972).

The spelling of 22531305144450 in words is "twenty-two trillion, five hundred thirty-one billion, three hundred five million, one hundred forty-four thousand, four hundred fifty".