8808172488864 has 144 divisors (see below), whose sum is σ = 28656795480768. Its totient is φ = 2513962699776.

The previous prime is 8808172488823. The next prime is 8808172488883. The reversal of 8808172488864 is 4688842718088.

8808172488864 is a `hidden beast` number, since 8 + 8 + 0 + 81 + 7 + 2 + 488 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8808172488792 and 8808172488801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397677 + ... + 4215980.

It is an arithmetic number, because the mean of its divisors is an integer number (199005524172).

Almost surely, 2^{8808172488864} is an apocalyptic number.

8808172488864 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 8808172488864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328397740384).

8808172488864 is an abundant number, since it is smaller than the sum of its proper divisors (19848622991904).

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

8808172488864 is a wasteful number, since it uses less digits than its factorization.

8808172488864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614627 (or 4614616 counting only the distinct ones).

The product of its (nonzero) digits is 352321536, while the sum is 72.

The spelling of 8808172488864 in words is "eight trillion, eight hundred eight billion, one hundred seventy-two million, four hundred eighty-eight thousand, eight hundred sixty-four".