1689652102656 has 320 divisors, whose sum is σ = 5248417794048. Its totient is φ = 473019875328.

The previous prime is 1689652102597. The next prime is 1689652102673. The reversal of 1689652102656 is 6562012569861.

It is a junction number, because it is equal to n+sod(n) for n = 1689652102596 and 1689652102605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577262665 + ... + 577265591.

Almost surely, 2^{1689652102656} is an apocalyptic number.

1689652102656 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 1689652102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624208897024).

1689652102656 is an abundant number, since it is smaller than the sum of its proper divisors (3558765691392).

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

1689652102656 is a wasteful number, since it uses less digits than its factorization.

1689652102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 1689652102656 in words is "one trillion, six hundred eighty-nine billion, six hundred fifty-two million, one hundred two thousand, six hundred fifty-six".