3144329743968 has 288 divisors, whose sum is σ = 10601910498816. Its totient is φ = 898010800128.

The previous prime is 3144329743949. The next prime is 3144329743969. The reversal of 3144329743968 is 8693479234413.

It is a happy number.

3144329743968 is a `hidden beast` number, since 3 + 1 + 443 + 2 + 97 + 43 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (3144329743969) 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 47 ways as a sum of consecutive naturals, for example, 149840805 + ... + 149861787.

It is an arithmetic number, because the mean of its divisors is an integer number (36812189232).

Almost surely, 2^{3144329743968} 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 3144329743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300955249408).

3144329743968 is an abundant number, since it is smaller than the sum of its proper divisors (7457580754848).

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

3144329743968 is a wasteful number, since it uses less digits than its factorization.

3144329743968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23768 (or 23748 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 3144329743968 in words is "three trillion, one hundred forty-four billion, three hundred twenty-nine million, seven hundred forty-three thousand, nine hundred sixty-eight".