22320144144 has 60 divisors (see below), whose sum is σ = 62489684556. Its totient is φ = 7437156096.

The previous prime is 22320144139. The next prime is 22320144157. The reversal of 22320144144 is 44144102322.

22320144144 is a `hidden beast` number, since 2 + 232 + 0 + 14 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5907459600 + 16412684544 = 76860^2 + 128112^2 .

It is a super-3 number, since 3×22320144144³ (a number of 32 digits) contains 333 as substring.

22320144144 is a modest number, since divided by 144144 gives 22320 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359014 + ... + 416570.

Almost surely, 2^22320144144 is an apocalyptic number.

22320144144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22320144144 is an abundant number, since it is smaller than the sum of its proper divisors (40169540412).

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

22320144144 is a wasteful number, since it uses less digits than its factorization.

22320144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60264 (or 60255 counting only the distinct ones).

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

Adding to 22320144144 its reverse (44144102322), we get a palindrome (66464246466).

It can be divided in two parts, 22320 and 144144, that added together give a square (166464 = 408²).

The spelling of 22320144144 in words is "twenty-two billion, three hundred twenty million, one hundred forty-four thousand, one hundred forty-four".