1311289332864 has 256 divisors, whose sum is σ = 4007465760000. Its totient is φ = 372141195264.

The previous prime is 1311289332803. The next prime is 1311289332877. The reversal of 1311289332864 is 4682339821131.

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, 430070412 + ... + 430073460.

It is an arithmetic number, because the mean of its divisors is an integer number (15654163125).

Almost surely, 2^{1311289332864} is an apocalyptic number.

1311289332864 is a gapful number since it is divisible by the number (14) 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 1311289332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003732880000).

1311289332864 is an abundant number, since it is smaller than the sum of its proper divisors (2696176427136).

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

1311289332864 is a wasteful number, since it uses less digits than its factorization.

1311289332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4083 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 1311289332864 in words is "one trillion, three hundred eleven billion, two hundred eighty-nine million, three hundred thirty-two thousand, eight hundred sixty-four".