8443648604160 has 2304 divisors, whose sum is σ = 38244323819520. Its totient is φ = 1735692779520.

The previous prime is 8443648604159. The next prime is 8443648604173. The reversal of 8443648604160 is 614068463448.

It is a happy number.

8443648604160 is a `hidden beast` number, since 8 + 4 + 436 + 48 + 6 + 0 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8443648604097 and 8443648604106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24333281107 + ... + 24333281453.

It is an arithmetic number, because the mean of its divisors is an integer number (16599098880).

Almost surely, 2^{8443648604160} is an apocalyptic number.

8443648604160 is a gapful number since it is divisible by the number (80) 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 8443648604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19122161909760).

8443648604160 is an abundant number, since it is smaller than the sum of its proper divisors (29800675215360).

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

8443648604160 is a wasteful number, since it uses less digits than its factorization.

8443648604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 8443648604160 in words is "eight trillion, four hundred forty-three billion, six hundred forty-eight million, six hundred four thousand, one hundred sixty".