8653319109864 has 288 divisors, whose sum is σ = 27702343150560. Its totient is φ = 2418954969600.

The previous prime is 8653319109859. The next prime is 8653319109871. The reversal of 8653319109864 is 4689019133568.

8653319109864 is a `hidden beast` number, since 8 + 6 + 533 + 1 + 9 + 1 + 0 + 98 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 216947667 + ... + 216987549.

It is an arithmetic number, because the mean of its divisors is an integer number (96188691495).

Almost surely, 2^{8653319109864} 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 8653319109864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851171575280).

8653319109864 is an abundant number, since it is smaller than the sum of its proper divisors (19049024040696).

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

8653319109864 is a wasteful number, since it uses less digits than its factorization.

8653319109864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41553 (or 41533 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 8653319109864 in words is "eight trillion, six hundred fifty-three billion, three hundred nineteen million, one hundred nine thousand, eight hundred sixty-four".