1311795150848 has 512 divisors, whose sum is σ = 3483702190080. Its totient is φ = 479597690880.

The previous prime is 1311795150797. The next prime is 1311795150857. The reversal of 1311795150848 is 8480515971131.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 1311795150848.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126085836 + ... + 2126086452.

It is an arithmetic number, because the mean of its divisors is an integer number (6804105840).

Almost surely, 2^{1311795150848} 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 1311795150848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741851095040).

1311795150848 is an abundant number, since it is smaller than the sum of its proper divisors (2171907039232).

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

1311795150848 is an equidigital number, since it uses as much as digits as its factorization.

1311795150848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 53.

The spelling of 1311795150848 in words is "one trillion, three hundred eleven billion, seven hundred ninety-five million, one hundred fifty thousand, eight hundred forty-eight".