34331412322323 has 96 divisors (see below), whose sum is σ = 53025908981760. Its totient is φ = 21342586553280.

The previous prime is 34331412322303. The next prime is 34331412322343. The reversal of 34331412322323 is 32322321413343.

34331412322323 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 1 + 4 + 1 + 2 + 322 + 323 = 666.

It is an interprime number because it is at equal distance from previous prime (34331412322303) and next prime (34331412322343).

It is not a de Polignac number, because 34331412322323 - 2¹³ = 34331412314131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34331412322303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5002387990 + ... + 5002394852.

It is an arithmetic number, because the mean of its divisors is an integer number (552353218560).

Almost surely, 2^{34331412322323} is an apocalyptic number.

34331412322323 is a deficient number, since it is larger than the sum of its proper divisors (18694496659437).

34331412322323 is a wasteful number, since it uses less digits than its factorization.

34331412322323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8669 (or 8666 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 34331412322323 its reverse (32322321413343), we get a palindrome (66653733735666).

The spelling of 34331412322323 in words is "thirty-four trillion, three hundred thirty-one billion, four hundred twelve million, three hundred twenty-two thousand, three hundred twenty-three".