1311616516544 has 168 divisors, whose sum is σ = 2714776826976. Its totient is φ = 628552960000.

The previous prime is 1311616516513. The next prime is 1311616516549. The reversal of 1311616516544 is 4456156161131.

It is a junction number, because it is equal to n+sod(n) for n = 1311616516495 and 1311616516504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311616516549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597583654 + ... + 1597584474.

Almost surely, 2^{1311616516544} 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 1311616516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357388413488).

1311616516544 is an abundant number, since it is smaller than the sum of its proper divisors (1403160310432).

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

1311616516544 is an equidigital number, since it uses as much as digits as its factorization.

1311616516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1054 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The spelling of 1311616516544 in words is "one trillion, three hundred eleven billion, six hundred sixteen million, five hundred sixteen thousand, five hundred forty-four".