8957457441 has 16 divisors (see below), whose sum is σ = 13301845120. Its totient is φ = 5957446320.

The previous prime is 8957457427. The next prime is 8957457449. The reversal of 8957457441 is 1447547598.

8957457441 is a `hidden beast` number, since 89 + 5 + 74 + 57 + 441 = 666.

8957457441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8957457441 - 2²⁹ = 8420586529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8957457449) 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 15 ways as a sum of consecutive naturals, for example, 382645 + ... + 405378.

It is an arithmetic number, because the mean of its divisors is an integer number (831365320).

Almost surely, 2^8957457441 is an apocalyptic number.

It is an amenable number.

8957457441 is a deficient number, since it is larger than the sum of its proper divisors (4344387679).

8957457441 is a wasteful number, since it uses less digits than its factorization.

8957457441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788453 (or 788447 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 8957457441 is about 94643.8452357046. The cubic root of 8957457441 is about 2076.8011605084.

The spelling of 8957457441 in words is "eight billion, nine hundred fifty-seven million, four hundred fifty-seven thousand, four hundred forty-one".