9998743602241 has 9 divisors (see below), whose sum is σ = 10088371625059. Its totient is φ = 9909904992736.

The previous prime is 9998743602233. The next prime is 9998743602319. The reversal of 9998743602241 is 1422063478999.

The square root of 9998743602241 is 3162079.

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

It can be written as a sum of positive squares in only one way, i.e., 176185865025 + 9822557737216 = 419745^2 + 3134096^2 .

It is not a de Polignac number, because 9998743602241 - 2³ = 9998743602233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9998743605241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 357300936 + ... + 357328918.

Almost surely, 2^{9998743602241} is an apocalyptic number.

9998743602241 is the 3162079-th square number.

9998743602241 is the 1581040-th centered octagonal number.

It is an amenable number.

9998743602241 is a deficient number, since it is larger than the sum of its proper divisors (89628022818).

9998743602241 is an frugal number, since it uses more digits than its factorization.

9998743602241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56192 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 64.

Multiplying 9998743602241 by its sum of digits (64), we get a square (639919590543424 = 25296632²).

The spelling of 9998743602241 in words is "nine trillion, nine hundred ninety-eight billion, seven hundred forty-three million, six hundred two thousand, two hundred forty-one".