2004340114033 has 8 divisors (see below), whose sum is σ = 2122450863048. Its totient is φ = 1886252519424.

The previous prime is 2004340114019. The next prime is 2004340114061. The reversal of 2004340114033 is 3304110434002.

It can be written as a sum of positive squares in 4 ways, for example, as 289306288384 + 1715033825649 = 537872^2 + 1309593^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2004340114033 - 2¹⁷ = 2004339982961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004340113989 and 2004340114007.

It is not an unprimeable number, because it can be changed into a prime (2004340114003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5610216 + ... + 5956777.

It is an arithmetic number, because the mean of its divisors is an integer number (265306357881).

Almost surely, 2^{2004340114033} is an apocalyptic number.

It is an amenable number.

2004340114033 is a deficient number, since it is larger than the sum of its proper divisors (118110749015).

2004340114033 is a wasteful number, since it uses less digits than its factorization.

2004340114033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577203.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2004340114033 its reverse (3304110434002), we get a palindrome (5308450548035).

The spelling of 2004340114033 in words is "two trillion, four billion, three hundred forty million, one hundred fourteen thousand, thirty-three".