966123863056 has 135 divisors (see below), whose sum is σ = 2089205665309. Its totient is φ = 432483040000.

The previous prime is 966123863053. The next prime is 966123863059. The reversal of 966123863056 is 650368321669.

The square root of 966123863056 is 982916.

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

It is an interprime number because it is at equal distance from previous prime (966123863053) and next prime (966123863059).

It can be written as a sum of positive squares in only one way, i.e., 185516272656 + 780607590400 = 430716^2 + 883520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 966123862988 and 966123863006.

It is not an unprimeable number, because it can be changed into a prime (966123863053) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3849098931 + ... + 3849099181.

Almost surely, 2^966123863056 is an apocalyptic number.

966123863056 is the 982916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966123863056

966123863056 is an abundant number, since it is smaller than the sum of its proper divisors (1123081802253).

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

966123863056 is an equidigital number, since it uses as much as digits as its factorization.

966123863056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 966123863056 in words is "nine hundred sixty-six billion, one hundred twenty-three million, eight hundred sixty-three thousand, fifty-six".