8645409217656 has 96 divisors (see below), whose sum is σ = 23602543810560. Its totient is φ = 2858684463936.

The previous prime is 8645409217603. The next prime is 8645409217661. The reversal of 8645409217656 is 6567129045468.

8645409217656 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 409 + 2 + 176 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8645409217593 and 8645409217602.

It is a congruent number.

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, 64334071 + ... + 64468313.

It is an arithmetic number, because the mean of its divisors is an integer number (245859831360).

Almost surely, 2^{8645409217656} 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 8645409217656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801271905280).

8645409217656 is an abundant number, since it is smaller than the sum of its proper divisors (14957134592904).

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

8645409217656 is a wasteful number, since it uses less digits than its factorization.

8645409217656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141425 (or 141418 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 8645409217656 in words is "eight trillion, six hundred forty-five billion, four hundred nine million, two hundred seventeen thousand, six hundred fifty-six".