1685689104384 has 384 divisors, whose sum is σ = 5203984968000. Its totient is φ = 538490437632.

The previous prime is 1685689104383. The next prime is 1685689104389. The reversal of 1685689104384 is 4834019865861.

1685689104384 is a `hidden beast` number, since 1 + 68 + 56 + 8 + 91 + 0 + 438 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685689104383) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 219687172 + ... + 219694844.

Almost surely, 2^{1685689104384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1685689104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601992484000).

1685689104384 is an abundant number, since it is smaller than the sum of its proper divisors (3518295863616).

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

1685689104384 is a wasteful number, since it uses less digits than its factorization.

1685689104384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1685689104384 in words is "one trillion, six hundred eighty-five billion, six hundred eighty-nine million, one hundred four thousand, three hundred eighty-four".