30632350441 has 27 divisors (see below), whose sum is σ = 39184695543. Its totient is φ = 23858862720.

The previous prime is 30632350433. The next prime is 30632350453. The reversal of 30632350441 is 14405323603.

The square root of 30632350441 is 175021.

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., 27279477225 + 3352873216 = 165165^2 + 57904^2 .

It is not a de Polignac number, because 30632350441 - 2³ = 30632350433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30632350471) 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 26 ways as a sum of consecutive naturals, for example, 13475481 + ... + 13477753.

Almost surely, 2^30632350441 is an apocalyptic number.

30632350441 is the 175021-st square number.

30632350441 is the 87511-st centered octagonal number.

It is an amenable number.

30632350441 is a deficient number, since it is larger than the sum of its proper divisors (8552345102).

30632350441 is an frugal number, since it uses more digits than its factorization.

30632350441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 30632350441 in words is "thirty billion, six hundred thirty-two million, three hundred fifty thousand, four hundred forty-one".