8186237406768 has 40 divisors (see below), whose sum is σ = 21148085060928. Its totient is φ = 2728706435392.

The previous prime is 8186237406751. The next prime is 8186237406797. The reversal of 8186237406768 is 8676047326818.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8186237406699 and 8186237406708.

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 7 ways as a sum of consecutive naturals, for example, 2232055 + ... + 4621097.

Almost surely, 2^{8186237406768} is an apocalyptic number.

It is an amenable number.

8186237406768 is an abundant number, since it is smaller than the sum of its proper divisors (12961847654160).

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

8186237406768 is a wasteful number, since it uses less digits than its factorization.

8186237406768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460441 (or 2460435 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 8186237406768 in words is "eight trillion, one hundred eighty-six billion, two hundred thirty-seven million, four hundred six thousand, seven hundred sixty-eight".