2008659955968 has 144 divisors (see below), whose sum is σ = 6015151878400. Its totient is φ = 661077780480.

The previous prime is 2008659955961. The next prime is 2008659955993. The reversal of 2008659955968 is 8695599568002.

2008659955968 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 6 + 5 + 9 + 9 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2008659955896 and 2008659955905.

It is not an unprimeable number, because it can be changed into a prime (2008659955961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293223 + ... + 2385318.

Almost surely, 2^{2008659955968} is an apocalyptic number.

It is an amenable number.

2008659955968 is an abundant number, since it is smaller than the sum of its proper divisors (4006491922432).

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

2008659955968 is an equidigital number, since it uses as much as digits as its factorization.

2008659955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678645 (or 3678625 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 2008659955968 in words is "two trillion, eight billion, six hundred fifty-nine million, nine hundred fifty-five thousand, nine hundred sixty-eight".