3141269141568 has 224 divisors, whose sum is σ = 8467617100800. Its totient is φ = 1027610081280.

The previous prime is 3141269141539. The next prime is 3141269141573. The reversal of 3141269141568 is 8651419621413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3141269141568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682521371 + ... + 1682523237.

Almost surely, 2^{3141269141568} 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 3141269141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233808550400).

3141269141568 is an abundant number, since it is smaller than the sum of its proper divisors (5326347959232).

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

3141269141568 is a wasteful number, since it uses less digits than its factorization.

3141269141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2695 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 3141269141568 in words is "three trillion, one hundred forty-one billion, two hundred sixty-nine million, one hundred forty-one thousand, five hundred sixty-eight".