8686646661888 has 576 divisors, whose sum is σ = 28603985858560. Its totient is φ = 2582278963200.

The previous prime is 8686646661859. The next prime is 8686646661929. The reversal of 8686646661888 is 8881666466868.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 1924803120 + ... + 1924807632.

Almost surely, 2^{8686646661888} 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 8686646661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14301992929280).

8686646661888 is an abundant number, since it is smaller than the sum of its proper divisors (19917339196672).

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

8686646661888 is a wasteful number, since it uses less digits than its factorization.

8686646661888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5253 counting only the distinct ones).

The product of its digits is 6115295232, while the sum is 81.

The spelling of 8686646661888 in words is "eight trillion, six hundred eighty-six billion, six hundred forty-six million, six hundred sixty-one thousand, eight hundred eighty-eight".