11735172241 has 15 divisors (see below), whose sum is σ = 12732933143. Its totient is φ = 10815567360.

The previous prime is 11735172227. The next prime is 11735172271. The reversal of 11735172241 is 14227153711.

The square root of 11735172241 is 108329.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9306653841 + 2428518400 = 96471^2 + 49280^2 .

It is not a de Polignac number, because 11735172241 - 2¹⁵ = 11735139473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11735172197 and 11735172206.

It is not an unprimeable number, because it can be changed into a prime (11735172271) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18307281 + ... + 18307921.

Almost surely, 2^11735172241 is an apocalyptic number.

11735172241 is the 108329-th square number.

11735172241 is the 54165-th centered octagonal number.

It is an amenable number.

11735172241 is a deficient number, since it is larger than the sum of its proper divisors (997760902).

11735172241 is an frugal number, since it uses more digits than its factorization.

11735172241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 654 counting only the distinct ones).

The product of its digits is 11760, while the sum is 34.

The spelling of 11735172241 in words is "eleven billion, seven hundred thirty-five million, one hundred seventy-two thousand, two hundred forty-one".