1688168168064 has 96 divisors (see below), whose sum is σ = 5551862603040. Its totient is φ = 482333760000.

The previous prime is 1688168168053. The next prime is 1688168168119. The reversal of 1688168168064 is 4608618618861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1688168168064³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1688168167992 and 1688168168010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104665062 + ... + 104681189.

It is an arithmetic number, because the mean of its divisors is an integer number (57831902115).

Almost surely, 2^{1688168168064} is an apocalyptic number.

1688168168064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1688168168064 is an abundant number, since it is smaller than the sum of its proper divisors (3863694434976).

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

1688168168064 is a wasteful number, since it uses less digits than its factorization.

1688168168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209346278 (or 209346263 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 1688168168064 in words is "one trillion, six hundred eighty-eight billion, one hundred sixty-eight million, one hundred sixty-eight thousand, sixty-four".