10832438241 has 9 divisors (see below), whose sum is σ = 15647306259. Its totient is φ = 7221417336.

The previous prime is 10832438189. The next prime is 10832438249. The reversal of 10832438241 is 14283423801.

It is a happy number.

The square root of 10832438241 is 104079.

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

10832438241 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., 7038371025 + 3794067216 = 83895^2 + 61596^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10832438241 - 2²⁹ = 10295567329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10832438196 and 10832438205.

It is not an unprimeable number, because it can be changed into a prime (10832438249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 294891 + ... + 329583.

Almost surely, 2^10832438241 is an apocalyptic number.

10832438241 is the 104079-th square number.

10832438241 is the 52040-th centered octagonal number.

It is an amenable number.

10832438241 is a deficient number, since it is larger than the sum of its proper divisors (4814868018).

10832438241 is an frugal number, since it uses more digits than its factorization.

10832438241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69392 (or 34696 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Multiplying 10832438241 by its sum of digits (36), we get a square (389967776676 = 624474²).

Multiplying 10832438241 by its product of nonzero digits (36864), we get a square (399327003316224 = 19983168²).

The spelling of 10832438241 in words is "ten billion, eight hundred thirty-two million, four hundred thirty-eight thousand, two hundred forty-one".