96834967906576 has 45 divisors (see below), whose sum is σ = 188304714831909. Its totient is φ = 48240847409088.

The previous prime is 96834967906571. The next prime is 96834967906609. The reversal of 96834967906576 is 67560976943869.

The square root of 96834967906576 is 9840476.

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

96834967906576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4947866384400 + 91887101522176 = 2224380^2 + 9585776^2 .

It is a super-2 number, since 2×96834967906576² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96834967906493 and 96834967906502.

It is not an unprimeable number, because it can be changed into a prime (96834967906571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11139414486 + ... + 11139423178.

Almost surely, 2^{96834967906576} is an apocalyptic number.

96834967906576 is the 9840476-th square number.

It is an amenable number.

96834967906576 is a deficient number, since it is larger than the sum of its proper divisors (91469746925333).

96834967906576 is an frugal number, since it uses more digits than its factorization.

96834967906576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17960 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 22221319680, while the sum is 85.

The spelling of 96834967906576 in words is "ninety-six trillion, eight hundred thirty-four billion, nine hundred sixty-seven million, nine hundred six thousand, five hundred seventy-six".