6617566657166 has 32 divisors (see below), whose sum is σ = 10581487792128. Its totient is φ = 3096654422400.

The previous prime is 6617566657151. The next prime is 6617566657217.

6617566657166 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6617566657096 and 6617566657105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6769766 + ... + 7685366.

It is an arithmetic number, because the mean of its divisors is an integer number (330671493504).

Almost surely, 2^{6617566657166} is an apocalyptic number.

6617566657166 is a deficient number, since it is larger than the sum of its proper divisors (3963921134962).

6617566657166 is a wasteful number, since it uses less digits than its factorization.

6617566657166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919016.

The product of its digits is 342921600, while the sum is 68.

The spelling of 6617566657166 in words is "six trillion, six hundred seventeen billion, five hundred sixty-six million, six hundred fifty-seven thousand, one hundred sixty-six".