834087664656 has 225 divisors, whose sum is σ = 2525905729039. Its totient is φ = 265699887552.

The previous prime is 834087664643. The next prime is 834087664703. The reversal of 834087664656 is 656466780438.

The square root of 834087664656 is 913284.

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

834087664656 is a `hidden beast` number, since 8 + 34 + 0 + 87 + 66 + 465 + 6 = 666.

834087664656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 834087664593 and 834087664602.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 756198601 + ... + 756199703.

Almost surely, 2^834087664656 is an apocalyptic number.

834087664656 is the 913284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 834087664656

834087664656 is an abundant number, since it is smaller than the sum of its proper divisors (1691818064383).

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

834087664656 is an equidigital number, since it uses as much as digits as its factorization.

834087664656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 834087664656 in words is "eight hundred thirty-four billion, eighty-seven million, six hundred sixty-four thousand, six hundred fifty-six".