329307274241 has 24 divisors (see below), whose sum is σ = 372598109352. Its totient is φ = 290693145600.

The previous prime is 329307274199. The next prime is 329307274267. The reversal of 329307274241 is 142472703923.

It can be written as a sum of positive squares in 4 ways, for example, as 121868017216 + 207439257025 = 349096^2 + 455455^2 .

It is a de Polignac number, because none of the positive numbers 2^k-329307274241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 329307274192 and 329307274201.

It is not an unprimeable number, because it can be changed into a prime (329307274441) 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 23 ways as a sum of consecutive naturals, for example, 357371 + ... + 886751.

It is an arithmetic number, because the mean of its divisors is an integer number (15524921223).

Almost surely, 2^329307274241 is an apocalyptic number.

It is an amenable number.

329307274241 is a deficient number, since it is larger than the sum of its proper divisors (43290835111).

329307274241 is a wasteful number, since it uses less digits than its factorization.

329307274241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529553 (or 529542 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 329307274241 in words is "three hundred twenty-nine billion, three hundred seven million, two hundred seventy-four thousand, two hundred forty-one".