99854433012961 has 27 divisors (see below), whose sum is σ = 116595631964217. Its totient is φ = 85435349197440.

The previous prime is 99854433012953. The next prime is 99854433012989. The reversal of 99854433012961 is 16921033445899.

The square root of 99854433012961 is 9992719.

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 17287043057361 + 82567389955600 = 4157769^2 + 9086660^2 .

It is not a de Polignac number, because 99854433012961 - 2³ = 99854433012953 is a prime.

It is a super-2 number, since 2×99854433012961² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99854433012893 and 99854433012902.

It is not an unprimeable number, because it can be changed into a prime (99854433012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1868611735 + ... + 1868665171.

Almost surely, 2^{99854433012961} is an apocalyptic number.

99854433012961 is the 9992719-th square number.

99854433012961 is the 4996360-th centered octagonal number.

It is an amenable number.

99854433012961 is a deficient number, since it is larger than the sum of its proper divisors (16741198951256).

99854433012961 is an frugal number, since it uses more digits than its factorization.

99854433012961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106930 (or 53465 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 99854433012961 in words is "ninety-nine trillion, eight hundred fifty-four billion, four hundred thirty-three million, twelve thousand, nine hundred sixty-one".