1688131789064 has 64 divisors (see below), whose sum is σ = 3677332968960. Its totient is φ = 711507421440.

The previous prime is 1688131789063. The next prime is 1688131789067. The reversal of 1688131789064 is 4609871318861.

It is a junction number, because it is equal to n+sod(n) for n = 1688131788988 and 1688131789006.

It is not an unprimeable number, because it can be changed into a prime (1688131789063) 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, 22532114 + ... + 22606910.

It is an arithmetic number, because the mean of its divisors is an integer number (57458327640).

Almost surely, 2^{1688131789064} is an apocalyptic number.

1688131789064 is a gapful number since it is divisible by the number (14) 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 1688131789064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838666484480).

1688131789064 is an abundant number, since it is smaller than the sum of its proper divisors (1989201179896).

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

1688131789064 is a wasteful number, since it uses less digits than its factorization.

1688131789064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81478 (or 81474 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 62.

The spelling of 1688131789064 in words is "one trillion, six hundred eighty-eight billion, one hundred thirty-one million, seven hundred eighty-nine thousand, sixty-four".