405316233231 has 96 divisors (see below), whose sum is σ = 688435937280. Its totient is φ = 206549637120.

The previous prime is 405316233167. The next prime is 405316233281. The reversal of 405316233231 is 132332613504.

It is not a de Polignac number, because 405316233231 - 2⁶ = 405316233167 is a prime.

It is a super-2 number, since 2×405316233231² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405316233192 and 405316233201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405316233281) 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 95 ways as a sum of consecutive naturals, for example, 243725106 + ... + 243726768.

It is an arithmetic number, because the mean of its divisors is an integer number (7171207680).

Almost surely, 2^405316233231 is an apocalyptic number.

405316233231 is a deficient number, since it is larger than the sum of its proper divisors (283119704049).

405316233231 is a wasteful number, since it uses less digits than its factorization.

405316233231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 405316233231 its reverse (132332613504), we get a palindrome (537648846735).

The spelling of 405316233231 in words is "four hundred five billion, three hundred sixteen million, two hundred thirty-three thousand, two hundred thirty-one".