8342191386648 has 192 divisors, whose sum is σ = 25967325384000. Its totient is φ = 2370015461376.

The previous prime is 8342191386611. The next prime is 8342191386649. The reversal of 8342191386648 is 8466831912438.

8342191386648 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 191 + 386 + 64 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8342191386649) 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 47 ways as a sum of consecutive naturals, for example, 73644838 + ... + 73758026.

It is an arithmetic number, because the mean of its divisors is an integer number (135246486375).

Almost surely, 2^{8342191386648} 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 8342191386648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983662692000).

8342191386648 is an abundant number, since it is smaller than the sum of its proper divisors (17625133997352).

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

8342191386648 is a wasteful number, since it uses less digits than its factorization.

8342191386648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114034 (or 114027 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The spelling of 8342191386648 in words is "eight trillion, three hundred forty-two billion, one hundred ninety-one million, three hundred eighty-six thousand, six hundred forty-eight".