886666181666688 has 768 divisors, whose sum is σ = 2750881326336000. Its totient is φ = 273282705100800.

The previous prime is 886666181666659. The next prime is 886666181666719.

886666181666688 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×886666181666688² (a number of 31 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 886666181666598 and 886666181666607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305430994645 + ... + 305430997547.

It is an arithmetic number, because the mean of its divisors is an integer number (3581876727000).

Almost surely, 2^{886666181666688} 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 886666181666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375440663168000).

886666181666688 is an abundant number, since it is smaller than the sum of its proper divisors (1864215144669312).

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

886666181666688 is a wasteful number, since it uses less digits than its factorization.

886666181666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4615 (or 4600 counting only the distinct ones).

The product of its digits is 55037657088, while the sum is 90.

The spelling of 886666181666688 in words is "eight hundred eighty-six trillion, six hundred sixty-six billion, one hundred eighty-one million, six hundred sixty-six thousand, six hundred eighty-eight".