1311814941696 has 792 divisors, whose sum is σ = 4515242075136. Its totient is φ = 365659176960.

The previous prime is 1311814941641. The next prime is 1311814941721. The reversal of 1311814941696 is 6961494181131.

1311814941696 is a `hidden beast` number, since 1 + 3 + 1 + 181 + 49 + 416 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5778920335 + ... + 5778920561.

Almost surely, 2^{1311814941696} is an apocalyptic number.

1311814941696 is a gapful number since it is divisible by the number (16) 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 1311814941696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257621037568).

1311814941696 is an abundant number, since it is smaller than the sum of its proper divisors (3203427133440).

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

1311814941696 is a wasteful number, since it uses less digits than its factorization.

1311814941696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 497 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 1311814941696 in words is "one trillion, three hundred eleven billion, eight hundred fourteen million, nine hundred forty-one thousand, six hundred ninety-six".