11834735227225 has 27 divisors (see below), whose sum is σ = 14994974876287. Its totient is φ = 9265712889680.

The previous prime is 11834735227207. The next prime is 11834735227229. The reversal of 11834735227225 is 52272253743811.

The square root of 11834735227225 is 3440165.

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

11834735227225 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., 4260504681801 + 7574230545424 = 2064099^2 + 2752132^2 .

It is not a de Polignac number, because 11834735227225 - 2⁵ = 11834735227193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11834735227229) 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, 808431456 + ... + 808446094.

Almost surely, 2^{11834735227225} is an apocalyptic number.

11834735227225 is the 3440165-th square number.

11834735227225 is the 1720083-rd centered octagonal number.

It is an amenable number.

11834735227225 is a deficient number, since it is larger than the sum of its proper divisors (3160239649062).

11834735227225 is an frugal number, since it uses more digits than its factorization.

11834735227225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29382 (or 14691 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 52.

The spelling of 11834735227225 in words is "eleven trillion, eight hundred thirty-four billion, seven hundred thirty-five million, two hundred twenty-seven thousand, two hundred twenty-five".