1689604091136 has 324 divisors, whose sum is σ = 5286701347200. Its totient is φ = 518735572992.

The previous prime is 1689604091113. The next prime is 1689604091141. The reversal of 1689604091136 is 6311904069861.

It is a happy number.

1689604091136 is a `hidden beast` number, since 1 + 68 + 9 + 60 + 409 + 113 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186506575 + ... + 186515633.

Almost surely, 2^{1689604091136} is an apocalyptic number.

1689604091136 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 1689604091136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643350673600).

1689604091136 is an abundant number, since it is smaller than the sum of its proper divisors (3597097256064).

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

1689604091136 is a wasteful number, since it uses less digits than its factorization.

1689604091136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

It can be divided in two parts, 168960 and 4091136, that added together give a square (4260096 = 2064²).

The spelling of 1689604091136 in words is "one trillion, six hundred eighty-nine billion, six hundred four million, ninety-one thousand, one hundred thirty-six".