9998693009041 has 27 divisors (see below), whose sum is σ = 11035945647153. Its totient is φ = 9052123893120.

The previous prime is 9998693009033. The next prime is 9998693009047. The reversal of 9998693009041 is 1409003968999.

The square root of 9998693009041 is 3162071.

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 4966118653441 + 5032574355600 = 2228479^2 + 2243340^2 .

It is not a de Polignac number, because 9998693009041 - 2³ = 9998693009033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9998693009047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11721796771 + ... + 11721797623.

Almost surely, 2^{9998693009041} is an apocalyptic number.

9998693009041 is the 3162071-st square number.

9998693009041 is the 1581036-th centered octagonal number.

It is an amenable number.

9998693009041 is a deficient number, since it is larger than the sum of its proper divisors (1037252638112).

9998693009041 is an frugal number, since it uses more digits than its factorization.

9998693009041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 67.

The spelling of 9998693009041 in words is "nine trillion, nine hundred ninety-eight billion, six hundred ninety-three million, nine thousand, forty-one".