65842383806224 has 45 divisors (see below), whose sum is σ = 127751933886997. Its totient is φ = 32874209920832.

The previous prime is 65842383806203. The next prime is 65842383806233. The reversal of 65842383806224 is 42260838324856.

The square root of 65842383806224 is 8114332.

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

It can be written as a sum of positive squares in only one way, i.e., 12378209719824 + 53464174086400 = 3518268^2 + 7311920^2 .

It is a super-2 number, since 2×65842383806224² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38526847482 + ... + 38526849190.

Almost surely, 2^{65842383806224} is an apocalyptic number.

65842383806224 is the 8114332-nd square number.

It is an amenable number.

65842383806224 is a deficient number, since it is larger than the sum of its proper divisors (61909550080773).

65842383806224 is an frugal number, since it uses more digits than its factorization.

65842383806224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 61.

The spelling of 65842383806224 in words is "sixty-five trillion, eight hundred forty-two billion, three hundred eighty-three million, eight hundred six thousand, two hundred twenty-four".