333068648641 has 9 divisors (see below), whose sum is σ = 338654095689. Its totient is φ = 327573879600.

The previous prime is 333068648623. The next prime is 333068648669. The reversal of 333068648641 is 146846860333.

The square root of 333068648641 is 577121.

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 36740839041 + 296327809600 = 191679^2 + 544360^2 .

It is not a de Polignac number, because 333068648641 - 2⁷ = 333068648513 is a prime.

It is a super-2 number, since 2×333068648641² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (333068648741) 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, 35199651 + ... + 35209111.

Almost surely, 2^333068648641 is an apocalyptic number.

333068648641 is the 577121-st square number.

333068648641 is the 288561-st centered octagonal number.

It is an amenable number.

333068648641 is a deficient number, since it is larger than the sum of its proper divisors (5585447048).

333068648641 is an frugal number, since it uses more digits than its factorization.

333068648641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19044 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 52.

The spelling of 333068648641 in words is "three hundred thirty-three billion, sixty-eight million, six hundred forty-eight thousand, six hundred forty-one".