12257148042441 has 81 divisors (see below), whose sum is σ = 18313750344981. Its totient is φ = 7899647768064.

The previous prime is 12257148042427. The next prime is 12257148042487. The reversal of 12257148042441 is 14424084175221.

The square root of 12257148042441 is 3501021.

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

12257148042441 is a `hidden beast` number, since 1 + 2 + 25 + 7 + 148 + 0 + 42 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 383196902841 + 11873951139600 = 619029^2 + 3445860^2 .

It is not a de Polignac number, because 12257148042441 - 2²⁵ = 12257114488009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12257148042641) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 53996246770 + ... + 53996246996.

Almost surely, 2^{12257148042441} is an apocalyptic number.

12257148042441 is the 3501021-st square number.

12257148042441 is the 1750511-st centered octagonal number.

It is an amenable number.

12257148042441 is a deficient number, since it is larger than the sum of its proper divisors (6056602302540).

12257148042441 is an frugal number, since it uses more digits than its factorization.

12257148042441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 12257148042441 in words is "twelve trillion, two hundred fifty-seven billion, one hundred forty-eight million, forty-two thousand, four hundred forty-one".