6128668668216 has 128 divisors (see below), whose sum is σ = 15508966072320. Its totient is φ = 2018068867584.

The previous prime is 6128668668181. The next prime is 6128668668251.

6128668668216 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6128668668181) and next prime (6128668668251).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297619631 + ... + 1297624353.

It is an arithmetic number, because the mean of its divisors is an integer number (121163797440).

Almost surely, 2^{6128668668216} is an apocalyptic number.

It is an amenable number.

6128668668216 is an abundant number, since it is smaller than the sum of its proper divisors (9380297404104).

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

6128668668216 is a wasteful number, since it uses less digits than its factorization.

6128668668216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6601 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 66.

The spelling of 6128668668216 in words is "six trillion, one hundred twenty-eight billion, six hundred sixty-eight million, six hundred sixty-eight thousand, two hundred sixteen".