6106616166016 has 96 divisors (see below), whose sum is σ = 12925319139180. Its totient is φ = 2873239142400.

The previous prime is 6106616165983. The next prime is 6106616166059.

6106616166016 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 6082615959616 + 24000206400 = 2466296^2 + 154920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366249456 + ... + 366266128.

Almost surely, 2^{6106616166016} 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 6106616166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462659569590).

6106616166016 is an abundant number, since it is smaller than the sum of its proper divisors (6818702973164).

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

6106616166016 is a wasteful number, since it uses less digits than its factorization.

6106616166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26622 (or 26593 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 6106616166016 in words is "six trillion, one hundred six billion, six hundred sixteen million, one hundred sixty-six thousand, sixteen".