5685134459904 has 495 divisors, whose sum is σ = 18071416653213. Its totient is φ = 1779909230592.

The previous prime is 5685134459839. The next prime is 5685134459941. The reversal of 5685134459904 is 4099544315865.

The square root of 5685134459904 is 2384352.

It is a perfect power (a square), and thus also a powerful number.

5685134459904 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 1 + 34 + 4 + 599 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4426142745600 + 1258991714304 = 2103840^2 + 1122048^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 11673787149 + ... + 11673787635.

Almost surely, 2^{5685134459904} is an apocalyptic number.

5685134459904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5685134459904 is the 2384352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5685134459904

5685134459904 is an abundant number, since it is smaller than the sum of its proper divisors (12386282193309).

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

5685134459904 is an frugal number, since it uses more digits than its factorization.

5685134459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 5685134459904 in words is "five trillion, six hundred eighty-five billion, one hundred thirty-four million, four hundred fifty-nine thousand, nine hundred four".