608281145856 has 560 divisors, whose sum is σ = 1881666924984. Its totient is φ = 196262756352.

The previous prime is 608281145821. The next prime is 608281145861. The reversal of 608281145856 is 658541182806.

608281145856 is a `hidden beast` number, since 60 + 8 + 2 + 81 + 1 + 458 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 427213875456 + 181067270400 = 653616^2 + 425520^2 .

It is a super-3 number, since 3×608281145856³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 1918867810 + ... + 1918868126.

Almost surely, 2^608281145856 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 608281145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940833462492).

608281145856 is an abundant number, since it is smaller than the sum of its proper divisors (1273385779128).

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

608281145856 is an frugal number, since it uses more digits than its factorization.

608281145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 608281145856 in words is "six hundred eight billion, two hundred eighty-one million, one hundred forty-five thousand, eight hundred fifty-six".