6348743041 has 27 divisors (see below), whose sum is σ = 6968581641. Its totient is φ = 5782783104.

The previous prime is 6348742993. The next prime is 6348743057. The reversal of 6348743041 is 1403478436.

The square root of 6348743041 is 79679.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1448183025 + 4900560016 = 38055^2 + 70004^2 .

It is not a de Polignac number, because 6348743041 - 2²¹ = 6346645889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6348742985 and 6348743003.

It is not an unprimeable number, because it can be changed into a prime (6348743641) 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, 58245295 + ... + 58245403.

Almost surely, 2^6348743041 is an apocalyptic number.

6348743041 is the 79679-th square number.

6348743041 is the 39840-th centered octagonal number.

It is an amenable number.

6348743041 is a deficient number, since it is larger than the sum of its proper divisors (619838600).

6348743041 is an equidigital number, since it uses as much as digits as its factorization.

6348743041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The cubic root of 6348743041 is about 1851.6657061093.

The spelling of 6348743041 in words is "six billion, three hundred forty-eight million, seven hundred forty-three thousand, forty-one".