6541991456 has 96 divisors (see below), whose sum is σ = 17292901248. Its totient is φ = 2352752640.

The previous prime is 6541991399. The next prime is 6541991507.

6541991456 is nontrivially palindromic in base 10.

It is an unprimeable number.

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, 70085 + ... + 134148.

It is an arithmetic number, because the mean of its divisors is an integer number (180134388).

Almost surely, 2^6541991456 is an apocalyptic number.

It is an amenable number.

6541991456 is an abundant number, since it is smaller than the sum of its proper divisors (10750909792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6541991456 is a wasteful number, since it uses less digits than its factorization.

6541991456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204274 (or 204266 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 50.

The square root of 6541991456 is about 80882.5781982746. The cubic root of 6541991456 is about 1870.2657648909.

The spelling of 6541991456 in words is "six billion, five hundred forty-one million, nine hundred ninety-one thousand, four hundred fifty-six".