65442444424456 has 48 divisors (see below), whose sum is σ = 134878683347100. Its totient is φ = 29745451760640.

The previous prime is 65442444424451. The next prime is 65442444424481.

65442444424456 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 51184494983556 + 14257949440900 = 7154334^2 + 3775970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 65442444424456.

It is not an unprimeable number, because it can be changed into a prime (65442444424451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24876940 + ... + 27381508.

Almost surely, 2^{65442444424456} is an apocalyptic number.

It is an amenable number.

65442444424456 is an abundant number, since it is smaller than the sum of its proper divisors (69436238922644).

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

65442444424456 is a wasteful number, since it uses less digits than its factorization.

65442444424456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531590 (or 2531575 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 58.

The spelling of 65442444424456 in words is "sixty-five trillion, four hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, four hundred fifty-six".