233133402014345 has 24 divisors (see below), whose sum is σ = 325933567506504. Its totient is φ = 159618091105536.

The previous prime is 233133402014339. The next prime is 233133402014351. The reversal of 233133402014345 is 543410204331332.

It is an interprime number because it is at equal distance from previous prime (233133402014339) and next prime (233133402014351).

It can be written as a sum of positive squares in 4 ways, for example, as 44417572951801 + 188715829062544 = 6664651^2 + 13737388^2 .

It is not a de Polignac number, because 233133402014345 - 2⁶ = 233133402014281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233133402014299 and 233133402014308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728450204 + ... + 728770173.

It is an arithmetic number, because the mean of its divisors is an integer number (13580565312771).

Almost surely, 2^{233133402014345} is an apocalyptic number.

It is an amenable number.

233133402014345 is a deficient number, since it is larger than the sum of its proper divisors (92800165492159).

233133402014345 is a wasteful number, since it uses less digits than its factorization.

233133402014345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457221049 (or 1457221042 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

Adding to 233133402014345 its reverse (543410204331332), we get a palindrome (776543606345677).

The spelling of 233133402014345 in words is "two hundred thirty-three trillion, one hundred thirty-three billion, four hundred two million, fourteen thousand, three hundred forty-five".