8645446656 has 704 divisors, whose sum is σ = 33202667520. Its totient is φ = 2156544000.

The previous prime is 8645446651. The next prime is 8645446661. The reversal of 8645446656 is 6566445468.

8645446656 is a `hidden beast` number, since 86 + 4 + 54 + 466 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (8645446651) and next prime (8645446661).

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8645446651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65995711 + ... + 65995841.

It is an arithmetic number, because the mean of its divisors is an integer number (47162880).

Almost surely, 2^8645446656 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 8645446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601333760).

8645446656 is an abundant number, since it is smaller than the sum of its proper divisors (24557220864).

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

8645446656 is a wasteful number, since it uses less digits than its factorization.

8645446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The square root of 8645446656 is about 92980.8940374312. The cubic root of 8645446656 is about 2052.4022329716.

The spelling of 8645446656 in words is "eight billion, six hundred forty-five million, four hundred forty-six thousand, six hundred fifty-six".