1311190848000 has 960 divisors, whose sum is σ = 5324979179520. Its totient is φ = 317813760000.

The previous prime is 1311190847971. The next prime is 1311190848001. The reversal of 1311190848000 is 8480911131.

1311190848000 is a `hidden beast` number, since 1 + 311 + 190 + 84 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1311190848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209084865 + ... + 209091135.

It is an arithmetic number, because the mean of its divisors is an integer number (5546853312).

Almost surely, 2^{1311190848000} is an apocalyptic number.

1311190848000 is a gapful number since it is divisible by the number (10) 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 1311190848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662489589760).

1311190848000 is an abundant number, since it is smaller than the sum of its proper divisors (4013788331520).

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

1311190848000 is an equidigital number, since it uses as much as digits as its factorization.

1311190848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 1311190848000 in words is "one trillion, three hundred eleven billion, one hundred ninety million, eight hundred forty-eight thousand".