29830816656 has 135 divisors (see below), whose sum is σ = 86023322931. Its totient is φ = 9649988352.

The previous prime is 29830816651. The next prime is 29830816663. The reversal of 29830816656 is 65661803892.

It is a happy number.

The square root of 29830816656 is 172716.

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

It can be written as a sum of positive squares in 4 ways, for example, as 925376400 + 28905440256 = 30420^2 + 170016^2 .

It is not an unprimeable number, because it can be changed into a prime (29830816651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76685710 + ... + 76686098.

Almost surely, 2^29830816656 is an apocalyptic number.

29830816656 is the 172716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29830816656

29830816656 is an abundant number, since it is smaller than the sum of its proper divisors (56192506275).

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

29830816656 is an equidigital number, since it uses as much as digits as its factorization.

29830816656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

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

The spelling of 29830816656 in words is "twenty-nine billion, eight hundred thirty million, eight hundred sixteen thousand, six hundred fifty-six".