96793165456 has 135 divisors (see below), whose sum is σ = 210927240027. Its totient is φ = 43008675840.

The previous prime is 96793165393. The next prime is 96793165459. The reversal of 96793165456 is 65456139769.

The square root of 96793165456 is 311116.

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 36513095056 + 60280070400 = 191084^2 + 245520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96793165394 and 96793165403.

It is not an unprimeable number, because it can be changed into a prime (96793165459) 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, 501518896 + ... + 501519088.

Almost surely, 2^96793165456 is an apocalyptic number.

96793165456 is the 311116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96793165456

96793165456 is an abundant number, since it is smaller than the sum of its proper divisors (114134074571).

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

96793165456 is a wasteful number, since it uses less digits than its factorization.

96793165456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 239 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 61.

The spelling of 96793165456 in words is "ninety-six billion, seven hundred ninety-three million, one hundred sixty-five thousand, four hundred fifty-six".