9958243681 has 9 divisors (see below), whose sum is σ = 10103917971. Its totient is φ = 9814644432.

The previous prime is 9958243679. The next prime is 9958243727. The reversal of 9958243681 is 1863428599.

The square root of 9958243681 is 99791.

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

9958243681 is digitally balanced in base 2, 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., 5652784225 + 4305459456 = 75185^2 + 65616^2 .

It is not a de Polignac number, because 9958243681 - 2¹ = 9958243679 is a prime.

It is a super-2 number, since 2×9958243681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (3732480) is a multiple of the sum of its prime divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (9958243621) 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 8 ways as a sum of consecutive naturals, for example, 7284060 + ... + 7285426.

Almost surely, 2^9958243681 is an apocalyptic number.

9958243681 is the 99791-st square number.

9958243681 is the 49896-th centered octagonal number.

It is an amenable number.

9958243681 is a deficient number, since it is larger than the sum of its proper divisors (145674290).

9958243681 is an frugal number, since it uses more digits than its factorization.

9958243681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 1440 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The cubic root of 9958243681 is about 2151.4317977484.

The spelling of 9958243681 in words is "nine billion, nine hundred fifty-eight million, two hundred forty-three thousand, six hundred eighty-one".