6311784871136 has 96 divisors (see below), whose sum is σ = 13911887324160. Its totient is φ = 2801303156736.

The previous prime is 6311784871127. The next prime is 6311784871151.

6311784871136 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935735 + ... + 3674121.

It is an arithmetic number, because the mean of its divisors is an integer number (144915492960).

Almost surely, 2^{6311784871136} 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 6311784871136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955943662080).

6311784871136 is an abundant number, since it is smaller than the sum of its proper divisors (7600102453024).

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

6311784871136 is a wasteful number, since it uses less digits than its factorization.

6311784871136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738656 (or 2738648 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 56.

The spelling of 6311784871136 in words is "six trillion, three hundred eleven billion, seven hundred eighty-four million, eight hundred seventy-one thousand, one hundred thirty-six".