24225422452242 has 192 divisors, whose sum is σ = 56508661794816. Its totient is φ = 6853382215680.

The previous prime is 24225422452229. The next prime is 24225422452249.

24225422452242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24225422452194 and 24225422452203.

It is not an unprimeable number, because it can be changed into a prime (24225422452249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5184124018 + ... + 5184128690.

It is an arithmetic number, because the mean of its divisors is an integer number (294315946848).

Almost surely, 2^{24225422452242} is an apocalyptic number.

24225422452242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24225422452242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28254330897408).

24225422452242 is an abundant number, since it is smaller than the sum of its proper divisors (32283239342574).

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

24225422452242 is a wasteful number, since it uses less digits than its factorization.

24225422452242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6602 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 2422542 and 2452242, that added together give a palindrome (4874784).

The spelling of 24225422452242 in words is "twenty-four trillion, two hundred twenty-five billion, four hundred twenty-two million, four hundred fifty-two thousand, two hundred forty-two".