65844073201 has 9 divisors (see below), whose sum is σ = 66363626721. Its totient is φ = 65328561792.

The previous prime is 65844073171. The next prime is 65844073213. The reversal of 65844073201 is 10237044856.

The square root of 65844073201 is 256601.

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 17056098801 + 48787974400 = 130599^2 + 220880^2 .

It is not a de Polignac number, because 65844073201 - 2¹³ = 65844065009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65844073261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35153401 + ... + 35155273.

Almost surely, 2^65844073201 is an apocalyptic number.

65844073201 is the 256601-st square number.

65844073201 is the 128301-st centered octagonal number.

It is an amenable number.

65844073201 is a deficient number, since it is larger than the sum of its proper divisors (519553520).

65844073201 is an frugal number, since it uses more digits than its factorization.

65844073201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 65844073201 in words is "sixty-five billion, eight hundred forty-four million, seventy-three thousand, two hundred one".