1688485459776 has 224 divisors, whose sum is σ = 4773958041600. Its totient is φ = 525518837760.

The previous prime is 1688485459729. The next prime is 1688485459777. The reversal of 1688485459776 is 6779545848861.

It is a super-2 number, since 2×1688485459776² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688485459777) by changing a digit.

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, 341588761 + ... + 341593703.

Almost surely, 2^{1688485459776} is an apocalyptic number.

1688485459776 is a gapful number since it is divisible by the number (16) 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 1688485459776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386979020800).

1688485459776 is an abundant number, since it is smaller than the sum of its proper divisors (3085472581824).

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

1688485459776 is a wasteful number, since it uses less digits than its factorization.

1688485459776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6987 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 78.

The spelling of 1688485459776 in words is "one trillion, six hundred eighty-eight billion, four hundred eighty-five million, four hundred fifty-nine thousand, seven hundred seventy-six".