65884109041 has 27 divisors (see below), whose sum is σ = 69964983361. Its totient is φ = 62038287584.

The previous prime is 65884109033. The next prime is 65884109047. The reversal of 65884109041 is 14090148856.

The square root of 65884109041 is 256679.

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 4133847025 + 61750262016 = 64295^2 + 248496^2 .

It is not a de Polignac number, because 65884109041 - 2³ = 65884109033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 65884108982 and 65884109000.

It is not an unprimeable number, because it can be changed into a prime (65884109047) 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, 394515540 + ... + 394515706.

Almost surely, 2^65884109041 is an apocalyptic number.

65884109041 is the 256679-th square number.

65884109041 is the 128340-th centered octagonal number.

It is an amenable number.

65884109041 is a deficient number, since it is larger than the sum of its proper divisors (4080874320).

65884109041 is an frugal number, since it uses more digits than its factorization.

65884109041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 65884109041 in words is "sixty-five billion, eight hundred eighty-four million, one hundred nine thousand, forty-one".