1608843456 has 168 divisors, whose sum is σ = 5193596928. Its totient is φ = 471744000.

The previous prime is 1608843451. The next prime is 1608843499. The reversal of 1608843456 is 6543488061.

1608843456 is a `hidden beast` number, since 1 + 608 + 8 + 4 + 34 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1608843451) 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 23 ways as a sum of consecutive naturals, for example, 192321 + ... + 200511.

Almost surely, 2^1608843456 is an apocalyptic number.

1608843456 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 1608843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596798464).

1608843456 is an abundant number, since it is smaller than the sum of its proper divisors (3584753472).

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

1608843456 is a wasteful number, since it uses less digits than its factorization.

1608843456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1608843456 is about 40110.3908731890. The cubic root of 1608843456 is about 1171.7580058477.

The spelling of 1608843456 in words is "one billion, six hundred eight million, eight hundred forty-three thousand, four hundred fifty-six".