6814068385344 has 448 divisors, whose sum is σ = 21165372472320. Its totient is φ = 1912882176000.

The previous prime is 6814068385339. The next prime is 6814068385357. The reversal of 6814068385344 is 4435838604186.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423462739 + ... + 423478829.

Almost surely, 2^{6814068385344} is an apocalyptic number.

6814068385344 is a gapful number since it is divisible by the number (64) 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 6814068385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582686236160).

6814068385344 is an abundant number, since it is smaller than the sum of its proper divisors (14351304086976).

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

6814068385344 is a wasteful number, since it uses less digits than its factorization.

6814068385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16370 (or 16360 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 6814068385344 in words is "six trillion, eight hundred fourteen billion, sixty-eight million, three hundred eighty-five thousand, three hundred forty-four".