1688009699712 has 256 divisors, whose sum is σ = 5334926400000. Its totient is φ = 462823538688.

The previous prime is 1688009699669. The next prime is 1688009699743. The reversal of 1688009699712 is 2179969008861.

It is a congruent number.

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, 7144039 + ... + 7376537.

It is an arithmetic number, because the mean of its divisors is an integer number (20839556250).

Almost surely, 2^{1688009699712} is an apocalyptic number.

1688009699712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688009699712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667463200000).

1688009699712 is an abundant number, since it is smaller than the sum of its proper divisors (3646916700288).

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

1688009699712 is a wasteful number, since it uses less digits than its factorization.

1688009699712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232633 (or 232621 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 66.

The spelling of 1688009699712 in words is "one trillion, six hundred eighty-eight billion, nine million, six hundred ninety-nine thousand, seven hundred twelve".