1685685456 has 720 divisors, whose sum is σ = 6668573184. Its totient is φ = 391716864.

The previous prime is 1685685451. The next prime is 1685685457. The reversal of 1685685456 is 6545865861.

1685685456 is a `hidden beast` number, since 1 + 68 + 56 + 85 + 456 = 666.

Its product of digits (6912000) is a multiple of the sum of its prime factors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685685451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35865625 + ... + 35865671.

Almost surely, 2^1685685456 is an apocalyptic number.

1685685456 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 1685685456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334286592).

1685685456 is an abundant number, since it is smaller than the sum of its proper divisors (4982887728).

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

1685685456 is a wasteful number, since it uses less digits than its factorization.

1685685456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 1685685456 is about 41057.0999462943. The cubic root of 1685685456 is about 1190.1239086662.

The spelling of 1685685456 in words is "one billion, six hundred eighty-five million, six hundred eighty-five thousand, four hundred fifty-six".