1688286048008 has 128 divisors (see below), whose sum is σ = 3832293669120. Its totient is φ = 682244259840.

The previous prime is 1688286047993. The next prime is 1688286048041. The reversal of 1688286048008 is 8008406828861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8049560 + ... + 8256632.

It is an arithmetic number, because the mean of its divisors is an integer number (29939794290).

Almost surely, 2^{1688286048008} 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 1688286048008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916146834560).

1688286048008 is an abundant number, since it is smaller than the sum of its proper divisors (2144007621112).

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

1688286048008 is a wasteful number, since it uses less digits than its factorization.

1688286048008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207247 (or 207243 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 59.

The spelling of 1688286048008 in words is "one trillion, six hundred eighty-eight billion, two hundred eighty-six million, forty-eight thousand, eight".