65944160601201 has 49 divisors (see below), whose sum is σ = 100369057342681. Its totient is φ = 43306612932132.

The previous prime is 65944160601083. The next prime is 65944160601211. The reversal of 65944160601201 is 10210606144956.

The square root of 65944160601201 is 8120601.

The cubic root of 65944160601201 is 40401.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

65944160601201 is a `hidden beast` number, since 6 + 5 + 9 + 4 + 4 + 16 + 0 + 601 + 20 + 1 = 666.

65944160601201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65944160601201 - 2²⁵ = 65944127046769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65944160601211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 984241202970 + ... + 984241203036.

Almost surely, 2^{65944160601201} is an apocalyptic number.

65944160601201 is the 8120601-st square number.

65944160601201 is the 4060301-st centered octagonal number.

It is an amenable number.

65944160601201 is a deficient number, since it is larger than the sum of its proper divisors (34424896741480).

65944160601201 is an frugal number, since it uses more digits than its factorization.

65944160601201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65944160601201 in words is "sixty-five trillion, nine hundred forty-four billion, one hundred sixty million, six hundred one thousand, two hundred one".