1688872832133 has 16 divisors (see below), whose sum is σ = 2349809191296. Its totient is φ = 1076928892160.

The previous prime is 1688872832117. The next prime is 1688872832137. The reversal of 1688872832133 is 3312382788861.

It is a cyclic number.

It is not a de Polignac number, because 1688872832133 - 2⁴ = 1688872832117 is a prime.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688872832137) 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 15 ways as a sum of consecutive naturals, for example, 1957441 + ... + 2685017.

It is an arithmetic number, because the mean of its divisors is an integer number (146863074456).

Almost surely, 2^{1688872832133} is an apocalyptic number.

It is an amenable number.

1688872832133 is a deficient number, since it is larger than the sum of its proper divisors (660936359163).

1688872832133 is a wasteful number, since it uses less digits than its factorization.

1688872832133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761244.

The product of its digits is 18579456, while the sum is 60.

The spelling of 1688872832133 in words is "one trillion, six hundred eighty-eight billion, eight hundred seventy-two million, eight hundred thirty-two thousand, one hundred thirty-three".