3143813668512 has 384 divisors, whose sum is σ = 9322323333120. Its totient is φ = 919586304000.

The previous prime is 3143813668511. The next prime is 3143813668517. The reversal of 3143813668512 is 2158663183413.

It is not an unprimeable number, because it can be changed into a prime (3143813668511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880371687 + ... + 880375257.

It is an arithmetic number, because the mean of its divisors is an integer number (24276883680).

Almost surely, 2^{3143813668512} is an apocalyptic number.

3143813668512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143813668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661161666560).

3143813668512 is an abundant number, since it is smaller than the sum of its proper divisors (6178509664608).

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

3143813668512 is a wasteful number, since it uses less digits than its factorization.

3143813668512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3900 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

It can be divided in two parts, 314381 and 3668512, that added together give a palindrome (3982893).

The spelling of 3143813668512 in words is "three trillion, one hundred forty-three billion, eight hundred thirteen million, six hundred sixty-eight thousand, five hundred twelve".