6591144961 has 24 divisors (see below), whose sum is σ = 6945503544. Its totient is φ = 6252940800.

The previous prime is 6591144947. The next prime is 6591145003. The reversal of 6591144961 is 1694411956.

It can be written as a sum of positive squares in 12 ways, for example, as 398241936 + 6192903025 = 19956^2 + 78695^2 .

It is not a de Polignac number, because 6591144961 - 2⁵ = 6591144929 is a prime.

It is a super-3 number, since 3×6591144961³ (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

Its product of digits (233280) is a multiple of the sum of its prime divisors (864).

It is not an unprimeable number, because it can be changed into a prime (6595144961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10093311 + ... + 10093963.

It is an arithmetic number, because the mean of its divisors is an integer number (289395981).

Almost surely, 2^6591144961 is an apocalyptic number.

It is an amenable number.

6591144961 is a deficient number, since it is larger than the sum of its proper divisors (354358583).

6591144961 is a wasteful number, since it uses less digits than its factorization.

6591144961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 864 counting only the distinct ones).

The product of its digits is 233280, while the sum is 46.

The square root of 6591144961 is about 81185.8667564743. The cubic root of 6591144961 is about 1874.9381868570.

The spelling of 6591144961 in words is "six billion, five hundred ninety-one million, one hundred forty-four thousand, nine hundred sixty-one".