1311315748704 has 1152 divisors, whose sum is σ = 4585395225600. Its totient is φ = 362025123840.

The previous prime is 1311315748681. The next prime is 1311315748709. The reversal of 1311315748704 is 4078475131131.

1311315748704 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 1 + 574 + 8 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1311315748704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311315748709) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7852190029 + ... + 7852190195.

It is an arithmetic number, because the mean of its divisors is an integer number (3980377800).

Almost surely, 2^{1311315748704} 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 1311315748704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292697612800).

1311315748704 is an abundant number, since it is smaller than the sum of its proper divisors (3274079476896).

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

1311315748704 is a wasteful number, since it uses less digits than its factorization.

1311315748704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1311315748704 in words is "one trillion, three hundred eleven billion, three hundred fifteen million, seven hundred forty-eight thousand, seven hundred four".