6106444446016 has 56 divisors (see below), whose sum is σ = 12316795681320. Its totient is φ = 3003005337600.

The previous prime is 6106444446001. The next prime is 6106444446029.

It is a happy number.

6106444446016 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 124976390400 + 5981468055616 = 353520^2 + 2445704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103664700 + ... + 103723588.

Almost surely, 2^{6106444446016} is an apocalyptic number.

It is an amenable number.

6106444446016 is an abundant number, since it is smaller than the sum of its proper divisors (6210351235304).

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

6106444446016 is a wasteful number, since it uses less digits than its factorization.

6106444446016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85523 (or 85513 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 6106444446016 in words is "six trillion, one hundred six billion, four hundred forty-four million, four hundred forty-six thousand, sixteen".