1685006067168 has 72 divisors (see below), whose sum is σ = 4812301585728. Its totient is φ = 559258071552.

The previous prime is 1685006067163. The next prime is 1685006067179. The reversal of 1685006067168 is 8617606005861.

1685006067168 is a `hidden beast` number, since 1 + 6 + 8 + 500 + 6 + 0 + 6 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685006067161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12488080 + ... + 12622287.

It is an arithmetic number, because the mean of its divisors is an integer number (66837522024).

Almost surely, 2^{1685006067168} is an apocalyptic number.

1685006067168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1685006067168 is an abundant number, since it is smaller than the sum of its proper divisors (3127295518560).

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

1685006067168 is a wasteful number, since it uses less digits than its factorization.

1685006067168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25110616 (or 25110605 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1685006067168 in words is "one trillion, six hundred eighty-five billion, six million, sixty-seven thousand, one hundred sixty-eight".