6806388348144 has 480 divisors, whose sum is σ = 24249282470400. Its totient is φ = 1766732083200.

The previous prime is 6806388348143. The next prime is 6806388348197. The reversal of 6806388348144 is 4418438836086.

6806388348144 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 38 + 83 + 481 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806388348143) 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, 1095857199 + ... + 1095863409.

It is an arithmetic number, because the mean of its divisors is an integer number (50519338480).

Almost surely, 2^{6806388348144} 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 6806388348144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12124641235200).

6806388348144 is an abundant number, since it is smaller than the sum of its proper divisors (17442894122256).

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

6806388348144 is a wasteful number, since it uses less digits than its factorization.

6806388348144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 6806388348144 in words is "six trillion, eight hundred six billion, three hundred eighty-eight million, three hundred forty-eight thousand, one hundred forty-four".