6811114164600 has 384 divisors, whose sum is σ = 21501923788800. Its totient is φ = 1783329177600.

The previous prime is 6811114164559. The next prime is 6811114164601. The reversal of 6811114164600 is 64614111186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811114164601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4368898621 + ... + 4368900179.

It is an arithmetic number, because the mean of its divisors is an integer number (55994593200).

Almost surely, 2^{6811114164600} is an apocalyptic number.

6811114164600 is a gapful number since it is divisible by the number (60) 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 6811114164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750961894400).

6811114164600 is an abundant number, since it is smaller than the sum of its proper divisors (14690809624200).

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

6811114164600 is a wasteful number, since it uses less digits than its factorization.

6811114164600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

Adding to 6811114164600 its reverse (64614111186), we get a palindrome (6875728275786).

It can be divided in two parts, 6811 and 114164600, that added together give a palindrome (114171411).

The spelling of 6811114164600 in words is "six trillion, eight hundred eleven billion, one hundred fourteen million, one hundred sixty-four thousand, six hundred".