22050134144 has 96 divisors (see below), whose sum is σ = 46510041600. Its totient is φ = 10411421184.

The previous prime is 22050134107. The next prime is 22050134147. The reversal of 22050134144 is 44143105022.

It is a super-2 number, since 2×22050134144² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22050134147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20284769 + ... + 20285855.

It is an arithmetic number, because the mean of its divisors is an integer number (484479600).

Almost surely, 2^22050134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255020800).

22050134144 is an abundant number, since it is smaller than the sum of its proper divisors (24459907456).

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

22050134144 is a wasteful number, since it uses less digits than its factorization.

22050134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 22050134144 its reverse (44143105022), we get a palindrome (66193239166).

The spelling of 22050134144 in words is "twenty-two billion, fifty million, one hundred thirty-four thousand, one hundred forty-four".