6456631344341 has 8 divisors (see below), whose sum is σ = 6652374720024. Its totient is φ = 6263787870720.

The previous prime is 6456631344323. The next prime is 6456631344343. The reversal of 6456631344341 is 1434431366546.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208986122500 + 6247645221841 = 457150^2 + 2499529^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6456631344341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6456631344341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456631344343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724970996 + ... + 724979901.

It is an arithmetic number, because the mean of its divisors is an integer number (831546840003).

Almost surely, 2^{6456631344341} is an apocalyptic number.

6456631344341 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6456631344341 is a deficient number, since it is larger than the sum of its proper divisors (195743375683).

6456631344341 is a wasteful number, since it uses less digits than its factorization.

6456631344341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449951031.

The product of its digits is 7464960, while the sum is 50.

The spelling of 6456631344341 in words is "six trillion, four hundred fifty-six billion, six hundred thirty-one million, three hundred forty-four thousand, three hundred forty-one".