3585206482848 has 288 divisors, whose sum is σ = 10422732902400. Its totient is φ = 1168676812800.

The previous prime is 3585206482777. The next prime is 3585206482853. The reversal of 3585206482848 is 8482846025853.

It is a happy number.

3585206482848 is a `hidden beast` number, since 3 + 5 + 8 + 520 + 6 + 48 + 28 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3585206482848² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803131873 + ... + 2803133151.

It is an arithmetic number, because the mean of its divisors is an integer number (36190044800).

Almost surely, 2^{3585206482848} 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 3585206482848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211366451200).

3585206482848 is an abundant number, since it is smaller than the sum of its proper divisors (6837526419552).

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

3585206482848 is a wasteful number, since it uses less digits than its factorization.

3585206482848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 3585206482848 in words is "three trillion, five hundred eighty-five billion, two hundred six million, four hundred eighty-two thousand, eight hundred forty-eight".