1689308265744 has 240 divisors, whose sum is σ = 5325825982464. Its totient is φ = 495217324800.

The previous prime is 1689308265721. The next prime is 1689308265779. The reversal of 1689308265744 is 4475628039861.

1689308265744 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 30 + 8 + 26 + 574 + 4 = 666.

It is a super-2 number, since 2×1689308265744² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197737537 + ... + 197746079.

It is a 1-persistent number, because it is pandigital, but 2⋅1689308265744 = 3378616531488 is not.

Almost surely, 2^{1689308265744} 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 1689308265744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662912991232).

1689308265744 is an abundant number, since it is smaller than the sum of its proper divisors (3636517716720).

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

1689308265744 is a wasteful number, since it uses less digits than its factorization.

1689308265744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1689308265744 in words is "one trillion, six hundred eighty-nine billion, three hundred eight million, two hundred sixty-five thousand, seven hundred forty-four".