22452434560000 has 165 divisors, whose sum is σ = 56095196206071. Its totient is φ = 8979457536000.

The previous prime is 22452434559979. The next prime is 22452434560007. The reversal of 22452434560000 is 6543425422.

The square root of 22452434560000 is 4738400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1760270869504 + 20692163690496 = 1326752^2 + 4548864^2 .

It is a super-2 number, since 2×22452434560000² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22452434560007) 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 14 ways as a sum of consecutive naturals, for example, 3790717039 + ... + 3790722961.

Almost surely, 2^{22452434560000} is an apocalyptic number.

22452434560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22452434560000 is the 4738400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22452434560000

22452434560000 is an abundant number, since it is smaller than the sum of its proper divisors (33642761646071).

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

22452434560000 is an frugal number, since it uses more digits than its factorization.

22452434560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 22452434560000 its reverse (6543425422), we get a palindrome (22458977985422).

The spelling of 22452434560000 in words is "twenty-two trillion, four hundred fifty-two billion, four hundred thirty-four million, five hundred sixty thousand".