6813238323186 has 128 divisors (see below), whose sum is σ = 16662280089600. Its totient is φ = 2054049528960.

The previous prime is 6813238323139. The next prime is 6813238323193.

It is a happy number.

6813238323186 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 238 + 323 + 1 + 86 = 666.

6813238323186 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12017475 + ... + 12571641.

It is an arithmetic number, because the mean of its divisors is an integer number (130174063200).

Almost surely, 2^{6813238323186} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6813238323186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331140044800).

6813238323186 is an abundant number, since it is smaller than the sum of its proper divisors (9849041766414).

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

6813238323186 is a wasteful number, since it uses less digits than its factorization.

6813238323186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554741 (or 554735 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 6813238323186 in words is "six trillion, eight hundred thirteen billion, two hundred thirty-eight million, three hundred twenty-three thousand, one hundred eighty-six".