485668216201 has 27 divisors (see below), whose sum is σ = 585284660181. Its totient is φ = 401815237824.

The previous prime is 485668216193. The next prime is 485668216237. The reversal of 485668216201 is 102612866584.

The square root of 485668216201 is 696899.

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 10566812025 + 475101404176 = 102795^2 + 689276^2 .

It is not a de Polignac number, because 485668216201 - 2³ = 485668216193 is a prime.

It is a super-2 number, since 2×485668216201² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (485668211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141468781 + ... + 141472213.

Almost surely, 2^485668216201 is an apocalyptic number.

485668216201 is the 696899-th square number.

485668216201 is the 348450-th centered octagonal number.

It is an amenable number.

485668216201 is a deficient number, since it is larger than the sum of its proper divisors (99616443980).

485668216201 is an frugal number, since it uses more digits than its factorization.

485668216201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 485668216201 by its sum of digits (49), we get a square (23797742593849 = 4878293²).

485668216201 divided by its sum of digits (49) gives a square (9911596249 = 99557²).

The spelling of 485668216201 in words is "four hundred eighty-five billion, six hundred sixty-eight million, two hundred sixteen thousand, two hundred one".