6311817485568 has 864 divisors, whose sum is σ = 22766391845120. Its totient is φ = 1689350307840.

The previous prime is 6311817485557. The next prime is 6311817485591. The reversal of 6311817485568 is 8655847181136.

It is a happy number.

6311817485568 is a `hidden beast` number, since 6 + 3 + 1 + 1 + 8 + 1 + 74 + 8 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6311817485568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3369896280 + ... + 3369898152.

Almost surely, 2^{6311817485568} is an apocalyptic number.

6311817485568 is a gapful number since it is divisible by the number (68) 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 6311817485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383195922560).

6311817485568 is an abundant number, since it is smaller than the sum of its proper divisors (16454574359552).

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

6311817485568 is a wasteful number, since it uses less digits than its factorization.

6311817485568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2143 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 6311817485568 in words is "six trillion, three hundred eleven billion, eight hundred seventeen million, four hundred eighty-five thousand, five hundred sixty-eight".