12038075585649 has 27 divisors (see below), whose sum is σ = 17570914302123. Its totient is φ = 7941981647232.

The previous prime is 12038075585639. The next prime is 12038075585651. The reversal of 12038075585649 is 94658557083021.

The square root of 12038075585649 is 3469593.

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

12038075585649 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 8 + 0 + 7 + 5 + 585 + 6 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5405555250225 + 6632520335424 = 2324985^2 + 2575368^2 .

It is not a de Polignac number, because 12038075585649 - 2³¹ = 12035928102001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12038075585639) 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, 1009645602 + ... + 1009657524.

It is a 1-persistent number, because it is pandigital, but 2⋅12038075585649 = 24076151171298 is not.

Almost surely, 2^{12038075585649} is an apocalyptic number.

12038075585649 is the 3469593-rd square number.

12038075585649 is the 1734797-th centered octagonal number.

It is an amenable number.

12038075585649 is a deficient number, since it is larger than the sum of its proper divisors (5532838716474).

12038075585649 is an frugal number, since it uses more digits than its factorization.

12038075585649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24046 (or 12023 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 12038075585649 in words is "twelve trillion, thirty-eight billion, seventy-five million, five hundred eighty-five thousand, six hundred forty-nine".