656418816 has 144 divisors (see below), whose sum is σ = 1967565600. Its totient is φ = 218640384.

The previous prime is 656418803. The next prime is 656418823. The reversal of 656418816 is 618814656.

656418816 is a `hidden beast` number, since 6 + 564 + 1 + 8 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497005 + ... + 498323.

It is an arithmetic number, because the mean of its divisors is an integer number (13663650).

Almost surely, 2^656418816 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 656418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983782800).

656418816 is an abundant number, since it is smaller than the sum of its proper divisors (1311146784).

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

656418816 is an equidigital number, since it uses as much as digits as its factorization.

656418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1324 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 656418816 is about 25620.6716539594. The cubic root of 656418816 is about 869.0811702507.

The spelling of 656418816 in words is "six hundred fifty-six million, four hundred eighteen thousand, eight hundred sixteen".