688989888989886 has 192 divisors, whose sum is σ = 1610250686553600. Its totient is φ = 196010931029760.

The previous prime is 688989888989879. The next prime is 688989888989887.

688989888989886 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688989888989887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1214174221 + ... + 1214741543.

It is an arithmetic number, because the mean of its divisors is an integer number (8386722325800).

Almost surely, 2^{688989888989886} is an apocalyptic number.

688989888989886 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 688989888989886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805125343276800).

688989888989886 is an abundant number, since it is smaller than the sum of its proper divisors (921260797563714).

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

688989888989886 is a wasteful number, since it uses less digits than its factorization.

688989888989886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568975 (or 568964 counting only the distinct ones).

The product of its digits is 31701690482688, while the sum is 120.

The spelling of 688989888989886 in words is "six hundred eighty-eight trillion, nine hundred eighty-nine billion, eight hundred eighty-eight million, nine hundred eighty-nine thousand, eight hundred eighty-six".