635605666266623 has 24 divisors (see below), whose sum is σ = 728858645836848. Its totient is φ = 552114462961152.

The previous prime is 635605666266551. The next prime is 635605666266631. The reversal of 635605666266623 is 326662666506536.

It is not a de Polignac number, because 635605666266623 - 2¹⁶ = 635605666201087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (635605666266653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1253465 + ... + 35676077.

It is an arithmetic number, because the mean of its divisors is an integer number (30369110243202).

Almost surely, 2^{635605666266623} is an apocalyptic number.

635605666266623 is a deficient number, since it is larger than the sum of its proper divisors (93252979570225).

635605666266623 is a wasteful number, since it uses less digits than its factorization.

635605666266623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34429083 (or 34429070 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 68.

The spelling of 635605666266623 in words is "six hundred thirty-five trillion, six hundred five billion, six hundred sixty-six million, two hundred sixty-six thousand, six hundred twenty-three".