6805215408348 has 192 divisors, whose sum is σ = 20242224414720. Its totient is φ = 1936770865344.

The previous prime is 6805215408347. The next prime is 6805215408349. The reversal of 6805215408348 is 8438045125086.

6805215408348 is a `hidden beast` number, since 6 + 8 + 0 + 52 + 1 + 540 + 8 + 3 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (6805215408347) and next prime (6805215408349).

It is a super-3 number, since 3×6805215408348³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6805215408294 and 6805215408303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6805215408347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954846361 + ... + 954853487.

It is an arithmetic number, because the mean of its divisors is an integer number (105428252160).

Almost surely, 2^{6805215408348} 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 6805215408348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121112207360).

6805215408348 is an abundant number, since it is smaller than the sum of its proper divisors (13437009006372).

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

6805215408348 is a wasteful number, since it uses less digits than its factorization.

6805215408348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11885 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 6805215408348 in words is "six trillion, eight hundred five billion, two hundred fifteen million, four hundred eight thousand, three hundred forty-eight".