2005616574768 has 40 divisors (see below), whose sum is σ = 5181296983408. Its totient is φ = 668523267072.

The previous prime is 2005616574761. The next prime is 2005616574811. The reversal of 2005616574768 is 8674756165002.

It is a super-3 number, since 3×2005616574768³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005616574761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1692996 + ... + 2622492.

Almost surely, 2^{2005616574768} is an apocalyptic number.

It is an amenable number.

2005616574768 is an abundant number, since it is smaller than the sum of its proper divisors (3175680408640).

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

2005616574768 is a wasteful number, since it uses less digits than its factorization.

2005616574768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974461 (or 974455 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 2005616574768 in words is "two trillion, five billion, six hundred sixteen million, five hundred seventy-four thousand, seven hundred sixty-eight".