6344510216661 has 72 divisors (see below), whose sum is σ = 9923599884744. Its totient is φ = 3903852625920.

The previous prime is 6344510216591. The next prime is 6344510216677. The reversal of 6344510216661 is 1666120154436.

It can be written as a sum of positive squares in 12 ways, for example, as 177636960900 + 6166873255761 = 421470^2 + 2483319^2 .

It is not a de Polignac number, because 6344510216661 - 2⁷ = 6344510216533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6344510212661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314432605 + ... + 314452781.

It is an arithmetic number, because the mean of its divisors is an integer number (137827776177).

Almost surely, 2^{6344510216661} is an apocalyptic number.

It is an amenable number.

6344510216661 is a deficient number, since it is larger than the sum of its proper divisors (3579089668083).

6344510216661 is a wasteful number, since it uses less digits than its factorization.

6344510216661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22551 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 6344510216661 in words is "six trillion, three hundred forty-four billion, five hundred ten million, two hundred sixteen thousand, six hundred sixty-one".