8346682866438 has 72 divisors (see below), whose sum is σ = 21037617389880. Its totient is φ = 2384701945920.

The previous prime is 8346682866437. The next prime is 8346682866463.

8346682866438 is a `hidden beast` number, since 8 + 3 + 466 + 82 + 86 + 6 + 4 + 3 + 8 = 666.

8346682866438 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8346682866438² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8346682866433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39345193 + ... + 39556763.

It is an arithmetic number, because the mean of its divisors is an integer number (292189130415).

Almost surely, 2^{8346682866438} is an apocalyptic number.

8346682866438 is an abundant number, since it is smaller than the sum of its proper divisors (12690934523442).

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

8346682866438 is a wasteful number, since it uses less digits than its factorization.

8346682866438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256322 (or 256312 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 72.

The spelling of 8346682866438 in words is "eight trillion, three hundred forty-six billion, six hundred eighty-two million, eight hundred sixty-six thousand, four hundred thirty-eight".