996305418801 has 243 divisors, whose sum is σ = 1918602307713. Its totient is φ = 496360529280.

The previous prime is 996305418793. The next prime is 996305418827. The reversal of 996305418801 is 108814503699.

The square root of 996305418801 is 998151.

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

996305418801 is a `hidden beast` number, since 9 + 96 + 3 + 0 + 541 + 8 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159519561201 + 836785857600 = 399399^2 + 914760^2 .

It is not a de Polignac number, because 996305418801 - 2³ = 996305418793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996305416801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6686613475 + ... + 6686613623.

Almost surely, 2^996305418801 is an apocalyptic number.

996305418801 is the 998151-st square number.

996305418801 is the 499076-th centered octagonal number.

It is an amenable number.

996305418801 is a deficient number, since it is larger than the sum of its proper divisors (922296888912).

996305418801 is a wasteful number, since it uses less digits than its factorization.

996305418801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 996305418801 in words is "nine hundred ninety-six billion, three hundred five million, four hundred eighteen thousand, eight hundred one".