10644611171661 has 12 divisors (see below), whose sum is σ = 16279993556892. Its totient is φ = 6678971715456.

The previous prime is 10644611171657. The next prime is 10644611171683. The reversal of 10644611171661 is 16617111644601.

10644611171661 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 611 + 17 + 16 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4549983358761 + 6094627812900 = 2133069^2 + 2468730^2 .

It is not a de Polignac number, because 10644611171661 - 2² = 10644611171657 is a prime.

It is a super-3 number, since 3×10644611171661³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10644611171611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34786310866 + ... + 34786311171.

It is an arithmetic number, because the mean of its divisors is an integer number (1356666129741).

Almost surely, 2^{10644611171661} is an apocalyptic number.

It is an amenable number.

10644611171661 is a deficient number, since it is larger than the sum of its proper divisors (5635382385231).

10644611171661 is a wasteful number, since it uses less digits than its factorization.

10644611171661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69572622060 (or 69572622057 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10644611171661 in words is "ten trillion, six hundred forty-four billion, six hundred eleven million, one hundred seventy-one thousand, six hundred sixty-one".