3661544451663 has 256 divisors, whose sum is σ = 6817300070400. Its totient is φ = 1896127833600.

The previous prime is 3661544451637. The next prime is 3661544451667.

It is a happy number.

3661544451663 is a `hidden beast` number, since 3 + 6 + 61 + 5 + 4 + 4 + 4 + 516 + 63 = 666.

3661544451663 is nontrivially palindromic in base 10.

3661544451663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3661544451663 - 2⁹ = 3661544451151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661544451667) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1287914320 + ... + 1287917162.

It is an arithmetic number, because the mean of its divisors is an integer number (26630078400).

Almost surely, 2^{3661544451663} is an apocalyptic number.

3661544451663 is a deficient number, since it is larger than the sum of its proper divisors (3155755618737).

3661544451663 is a wasteful number, since it uses less digits than its factorization.

3661544451663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3093 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 3661544451663 in words is "three trillion, six hundred sixty-one billion, five hundred forty-four million, four hundred fifty-one thousand, six hundred sixty-three".