2144842843968 has 672 divisors, whose sum is σ = 7163702208000. Its totient is φ = 606740336640.

The previous prime is 2144842843963. The next prime is 2144842843991. The reversal of 2144842843968 is 8693482484412.

It is a happy number.

2144842843968 is a `hidden beast` number, since 2 + 1 + 4 + 484 + 28 + 43 + 96 + 8 = 666.

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 (2144842843963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3465012363 + ... + 3465012981.

Almost surely, 2^{2144842843968} 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 2144842843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581851104000).

2144842843968 is an abundant number, since it is smaller than the sum of its proper divisors (5018859364032).

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

2144842843968 is a wasteful number, since it uses less digits than its factorization.

2144842843968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 2144842843968 in words is "two trillion, one hundred forty-four billion, eight hundred forty-two million, eight hundred forty-three thousand, nine hundred sixty-eight".