8682385714344 has 256 divisors, whose sum is σ = 26924866560000. Its totient is φ = 2576259468288.

The previous prime is 8682385714297. The next prime is 8682385714367. The reversal of 8682385714344 is 4434175832868.

8682385714344 is a `hidden beast` number, since 8 + 6 + 8 + 23 + 8 + 571 + 4 + 34 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42246667 + ... + 42451685.

It is an arithmetic number, because the mean of its divisors is an integer number (105175260000).

Almost surely, 2^{8682385714344} 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 8682385714344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462433280000).

8682385714344 is an abundant number, since it is smaller than the sum of its proper divisors (18242480845656).

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

8682385714344 is a wasteful number, since it uses less digits than its factorization.

8682385714344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205677 (or 205667 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 8682385714344 in words is "eight trillion, six hundred eighty-two billion, three hundred eighty-five million, seven hundred fourteen thousand, three hundred forty-four".