8744634106656 has 432 divisors, whose sum is σ = 28900923944256. Its totient is φ = 2307111346176.

The previous prime is 8744634106597. The next prime is 8744634106679. The reversal of 8744634106656 is 6566014364478.

It is a self number, because there is not a number n which added to its sum of digits gives 8744634106656.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 71990485 + ... + 72111851.

It is an arithmetic number, because the mean of its divisors is an integer number (66900286908).

Almost surely, 2^{8744634106656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8744634106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450461972128).

8744634106656 is an abundant number, since it is smaller than the sum of its proper divisors (20156289837600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8744634106656 is a wasteful number, since it uses less digits than its factorization.

8744634106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121481 (or 121449 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 8744634106656 in words is "eight trillion, seven hundred forty-four billion, six hundred thirty-four million, one hundred six thousand, six hundred fifty-six".