1685690178816 has 432 divisors, whose sum is σ = 5336593948224. Its totient is φ = 470828187648.

The previous prime is 1685690178811. The next prime is 1685690178911. The reversal of 1685690178816 is 6188710965861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685690178811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612308896 + ... + 612311648.

It is an arithmetic number, because the mean of its divisors is an integer number (12353226732).

Almost surely, 2^{1685690178816} is an apocalyptic number.

1685690178816 is a gapful number since it is divisible by the number (16) 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 1685690178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668296974112).

1685690178816 is an abundant number, since it is smaller than the sum of its proper divisors (3650903769408).

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

1685690178816 is a wasteful number, since it uses less digits than its factorization.

1685690178816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 66.

The spelling of 1685690178816 in words is "one trillion, six hundred eighty-five billion, six hundred ninety million, one hundred seventy-eight thousand, eight hundred sixteen".