656041681296 has 225 divisors, whose sum is σ = 1924347408753. Its totient is φ = 215774409600.

The previous prime is 656041681201. The next prime is 656041681313. The reversal of 656041681296 is 692186140656.

The square root of 656041681296 is 809964.

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

656041681296 is a `hidden beast` number, since 6 + 5 + 60 + 416 + 81 + 2 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76859799696 + 579181881600 = 277236^2 + 761040^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4344646821 + ... + 4344646971.

Almost surely, 2^656041681296 is an apocalyptic number.

656041681296 is the 809964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656041681296

656041681296 is an abundant number, since it is smaller than the sum of its proper divisors (1268305727457).

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

656041681296 is an equidigital number, since it uses as much as digits as its factorization.

656041681296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 656041681296 in words is "six hundred fifty-six billion, forty-one million, six hundred eighty-one thousand, two hundred ninety-six".