12038258961 has 45 divisors (see below), whose sum is σ = 18342628491. Its totient is φ = 7868168928.

The previous prime is 12038258959. The next prime is 12038258989. The reversal of 12038258961 is 16985283021.

The square root of 12038258961 is 109719.

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

12038258961 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 8 + 2 + 589 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6833502225 + 5204756736 = 82665^2 + 72144^2 .

It is not a de Polignac number, because 12038258961 - 2¹ = 12038258959 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12038258261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72085300 + ... + 72085466.

Almost surely, 2^12038258961 is an apocalyptic number.

12038258961 is the 109719-th square number.

12038258961 is the 54860-th centered octagonal number.

It is an amenable number.

12038258961 is a deficient number, since it is larger than the sum of its proper divisors (6304369530).

12038258961 is an frugal number, since it uses more digits than its factorization.

12038258961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12038258961 in words is "twelve billion, thirty-eight million, two hundred fifty-eight thousand, nine hundred sixty-one".