22041545344000 has 528 divisors, whose sum is σ = 68887365608880. Its totient is φ = 6975759974400.

The previous prime is 22041545343989. The next prime is 22041545344003. The reversal of 22041545344000 is 44354514022.

It can be written as a sum of positive squares in 8 ways, for example, as 14998084125696 + 7043461218304 = 3872736^2 + 2653952^2 .

It is not an unprimeable number, because it can be changed into a prime (22041545344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81400836 + ... + 81671164.

Almost surely, 2^{22041545344000} is an apocalyptic number.

22041545344000 is a gapful number since it is divisible by the number (20) 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 22041545344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34443682804440).

22041545344000 is an abundant number, since it is smaller than the sum of its proper divisors (46845820264880).

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

22041545344000 is a wasteful number, since it uses less digits than its factorization.

22041545344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270391 (or 270356 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 22041545344000 its reverse (44354514022), we get a palindrome (22085899858022).

The spelling of 22041545344000 in words is "twenty-two trillion, forty-one billion, five hundred forty-five million, three hundred forty-four thousand".