6186868686816 has 192 divisors, whose sum is σ = 16527800862720. Its totient is φ = 2026094653440.

The previous prime is 6186868686811. The next prime is 6186868686829.

6186868686816 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6186868686811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1569074541 + ... + 1569078483.

It is an arithmetic number, because the mean of its divisors is an integer number (86082296160).

Almost surely, 2^{6186868686816} 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 6186868686816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263900431360).

6186868686816 is an abundant number, since it is smaller than the sum of its proper divisors (10340932175904).

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

6186868686816 is a wasteful number, since it uses less digits than its factorization.

6186868686816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009 (or 5001 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 78.

The spelling of 6186868686816 in words is "six trillion, one hundred eighty-six billion, eight hundred sixty-eight million, six hundred eighty-six thousand, eight hundred sixteen".