22321440144 has 60 divisors (see below), whose sum is σ = 63647713116. Its totient is φ = 7300091136.

The previous prime is 22321440143. The next prime is 22321440161. The reversal of 22321440144 is 44104412322.

22321440144 is a `hidden beast` number, since 2 + 2 + 3 + 214 + 401 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16378880400 + 5942559744 = 127980^2 + 77088^2 .

It is a super-3 number, since 3×22321440144³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22321440143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1454727 + ... + 1469990.

Almost surely, 2^22321440144 is an apocalyptic number.

22321440144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22321440144 is an abundant number, since it is smaller than the sum of its proper divisors (41326272972).

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

22321440144 is a wasteful number, since it uses less digits than its factorization.

22321440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924784 (or 2924775 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22321440144 its reverse (44104412322), we get a palindrome (66425852466).

The spelling of 22321440144 in words is "twenty-two billion, three hundred twenty-one million, four hundred forty thousand, one hundred forty-four".