2144883168 has 72 divisors (see below), whose sum is σ = 6202942200. Its totient is φ = 702837504.

The previous prime is 2144883163. The next prime is 2144883197. The reversal of 2144883168 is 8613884412.

2144883168 is a `hidden beast` number, since 2 + 1 + 4 + 488 + 3 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2144883168³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144883163) 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 11 ways as a sum of consecutive naturals, for example, 46123 + ... + 80106.

It is an arithmetic number, because the mean of its divisors is an integer number (86151975).

Almost surely, 2^2144883168 is an apocalyptic number.

It is an amenable number.

2144883168 is an abundant number, since it is smaller than the sum of its proper divisors (4058059032).

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

2144883168 is a wasteful number, since it uses less digits than its factorization.

2144883168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126304 (or 126293 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 2144883168 is about 46312.8833911256. The cubic root of 2144883168 is about 1289.6381750691.

The spelling of 2144883168 in words is "two billion, one hundred forty-four million, eight hundred eighty-three thousand, one hundred sixty-eight".