8447164217856 has 1440 divisors, whose sum is σ = 31877409358080. Its totient is φ = 2104234868736.

The previous prime is 8447164217831. The next prime is 8447164217867. The reversal of 8447164217856 is 6587124617448.

8447164217856 is a `hidden beast` number, since 8 + 4 + 471 + 6 + 42 + 1 + 78 + 56 = 666.

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 = 8447164217793 and 8447164217802.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11158737030 + ... + 11158737786.

It is an arithmetic number, because the mean of its divisors is an integer number (22137089832).

Almost surely, 2^{8447164217856} 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 8447164217856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938704679040).

8447164217856 is an abundant number, since it is smaller than the sum of its proper divisors (23430245140224).

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

8447164217856 is a wasteful number, since it uses less digits than its factorization.

8447164217856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 894 counting only the distinct ones).

The product of its digits is 72253440, while the sum is 63.

The spelling of 8447164217856 in words is "eight trillion, four hundred forty-seven billion, one hundred sixty-four million, two hundred seventeen thousand, eight hundred fifty-six".