8808918560064 has 336 divisors, whose sum is σ = 29859238955520. Its totient is φ = 2429395476480.

The previous prime is 8808918560063. The next prime is 8808918560107. The reversal of 8808918560064 is 4600658198088.

8808918560064 is a `hidden beast` number, since 8 + 8 + 0 + 8 + 9 + 1 + 8 + 560 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 8808918559983 and 8808918560010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8808918560063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577967484 + ... + 577982724.

Almost surely, 2^{8808918560064} is an apocalyptic number.

8808918560064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8808918560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929619477760).

8808918560064 is an abundant number, since it is smaller than the sum of its proper divisors (21050320395456).

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

8808918560064 is a wasteful number, since it uses less digits than its factorization.

8808918560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20238 (or 20225 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 8808918560064 in words is "eight trillion, eight hundred eight billion, nine hundred eighteen million, five hundred sixty thousand, sixty-four".