8411824656 has 45 divisors (see below), whose sum is σ = 23544506479. Its totient is φ = 2803574688.

The previous prime is 8411824643. The next prime is 8411824667. The reversal of 8411824656 is 6564281148.

It is a happy number.

The square root of 8411824656 is 91716.

It is a perfect power (a square), and thus also a powerful number.

8411824656 is a `hidden beast` number, since 8 + 4 + 1 + 182 + 465 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1096771 + ... + 1104413.

Almost surely, 2^8411824656 is an apocalyptic number.

8411824656 is the 91716-th square number.

It is an amenable number.

8411824656 is an abundant number, since it is smaller than the sum of its proper divisors (15132681823).

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

8411824656 is an frugal number, since it uses more digits than its factorization.

8411824656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15300 (or 7648 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The cubic root of 8411824656 is about 2033.7461185661.

The spelling of 8411824656 in words is "eight billion, four hundred eleven million, eight hundred twenty-four thousand, six hundred fifty-six".