331116232329 has 27 divisors (see below), whose sum is σ = 486672522349. Its totient is φ = 216935979000.

The previous prime is 331116232241. The next prime is 331116232331. The reversal of 331116232329 is 923232611133.

The square root of 331116232329 is 575427.

It is a perfect power (a square), and thus also a powerful number.

331116232329 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 1 + 623 + 2 + 3 + 29 = 666.

It is not a de Polignac number, because 331116232329 - 2¹¹ = 331116230281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331116232293 and 331116232302.

It is not an unprimeable number, because it can be changed into a prime (331116232339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101848954 + ... + 101852204.

Almost surely, 2^331116232329 is an apocalyptic number.

331116232329 is the 575427-th square number.

331116232329 is the 287714-th centered octagonal number.

It is an amenable number.

331116232329 is a deficient number, since it is larger than the sum of its proper divisors (155556290020).

331116232329 is an frugal number, since it uses more digits than its factorization.

331116232329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 3313 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

Multiplying 331116232329 by its sum of digits (36), we get a square (11920184363844 = 3452562²).

The spelling of 331116232329 in words is "three hundred thirty-one billion, one hundred sixteen million, two hundred thirty-two thousand, three hundred twenty-nine".