1688065136982 has 72 divisors (see below), whose sum is σ = 4254829789392. Its totient is φ = 482279767200.

The previous prime is 1688065136969. The next prime is 1688065137019. The reversal of 1688065136982 is 2896315608861.

1688065136982 is a `hidden beast` number, since 1 + 68 + 80 + 65 + 1 + 369 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 24017932 + ... + 24088112.

It is an arithmetic number, because the mean of its divisors is an integer number (59094858186).

Almost surely, 2^{1688065136982} is an apocalyptic number.

1688065136982 is an abundant number, since it is smaller than the sum of its proper divisors (2566764652410).

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

1688065136982 is a wasteful number, since it uses less digits than its factorization.

1688065136982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97474 (or 97464 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1688065136982 in words is "one trillion, six hundred eighty-eight billion, sixty-five million, one hundred thirty-six thousand, nine hundred eighty-two".