163982626289361 has 36 divisors (see below), whose sum is σ = 260357459536356. Its totient is φ = 99382248725760.

The previous prime is 163982626289353. The next prime is 163982626289387.

163982626289361 is a `hidden beast` number, since 1 + 63 + 98 + 2 + 62 + 62 + 8 + 9 + 361 = 666.

163982626289361 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 62026351213761 + 101956275075600 = 7875681^2 + 10097340^2 .

It is not a de Polignac number, because 163982626289361 - 2³ = 163982626289353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 163982626289361.

It is not an unprimeable number, because it can be changed into a prime (163982626289341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97411765 + ... + 99080861.

Almost surely, 2^{163982626289361} is an apocalyptic number.

163982626289361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

163982626289361 is a deficient number, since it is larger than the sum of its proper divisors (96374833246995).

163982626289361 is a wasteful number, since it uses less digits than its factorization.

163982626289361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759342 (or 1759328 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 163982626289361 in words is "one hundred sixty-three trillion, nine hundred eighty-two billion, six hundred twenty-six million, two hundred eighty-nine thousand, three hundred sixty-one".