11198533509241 has 27 divisors (see below), whose sum is σ = 12338063304399. Its totient is φ = 10159573527792.

The previous prime is 11198533509239. The next prime is 11198533509257. The reversal of 11198533509241 is 14290533589111.

The square root of 11198533509241 is 3346421.

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

11198533509241 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., 1656587797225 + 9541945712016 = 1287085^2 + 3089004^2 .

It is not a de Polignac number, because 11198533509241 - 2¹ = 11198533509239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11198533509271) 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, 2566702726 + ... + 2566707088.

Almost surely, 2^{11198533509241} is an apocalyptic number.

11198533509241 is the 3346421-st square number.

11198533509241 is the 1673211-st centered octagonal number.

It is an amenable number.

11198533509241 is a deficient number, since it is larger than the sum of its proper divisors (1139529795158).

11198533509241 is an frugal number, since it uses more digits than its factorization.

11198533509241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8870 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 52.

The spelling of 11198533509241 in words is "eleven trillion, one hundred ninety-eight billion, five hundred thirty-three million, five hundred nine thousand, two hundred forty-one".