6456311441 has 32 divisors (see below), whose sum is σ = 7073049600. Its totient is φ = 5877930240.

The previous prime is 6456311437. The next prime is 6456311443. The reversal of 6456311441 is 1441136546.

It is a cyclic number.

It is not a de Polignac number, because 6456311441 - 2² = 6456311437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6456311443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8528435 + ... + 8529191.

It is an arithmetic number, because the mean of its divisors is an integer number (221032800).

Almost surely, 2^6456311441 is an apocalyptic number.

It is an amenable number.

6456311441 is a deficient number, since it is larger than the sum of its proper divisors (616738159).

6456311441 is a wasteful number, since it uses less digits than its factorization.

6456311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049.

The product of its digits is 34560, while the sum is 35.

The square root of 6456311441 is about 80351.1757287969. The cubic root of 6456311441 is about 1862.0649438388.

Adding to 6456311441 its reverse (1441136546), we get a palindrome (7897447987).

The spelling of 6456311441 in words is "six billion, four hundred fifty-six million, three hundred eleven thousand, four hundred forty-one".