1688646645504 has 864 divisors, whose sum is σ = 6303138723840. Its totient is φ = 434057895936.

The previous prime is 1688646645479. The next prime is 1688646645593. The reversal of 1688646645504 is 4055466468861.

1688646645504 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 64 + 6 + 64 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7065467017 + ... + 7065467255.

Almost surely, 2^{1688646645504} is an apocalyptic number.

1688646645504 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 1688646645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151569361920).

1688646645504 is an abundant number, since it is smaller than the sum of its proper divisors (4614492078336).

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

1688646645504 is an equidigital number, since it uses as much as digits as its factorization.

1688646645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 1688646645504 in words is "one trillion, six hundred eighty-eight billion, six hundred forty-six million, six hundred forty-five thousand, five hundred four".