34236633663243 has 96 divisors (see below), whose sum is σ = 56701052808960. Its totient is φ = 20246243673600.

The previous prime is 34236633663227. The next prime is 34236633663277.

34236633663243 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 6 + 6 + 336 + 63 + 243 = 666.

34236633663243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34236633663243 - 2⁴ = 34236633663227 is a prime.

It is a super-2 number, since 2×34236633663243² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34236633663243.

It is not an unprimeable number, because it can be changed into a prime (34236633663143) 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, 145108296 + ... + 145344042.

It is an arithmetic number, because the mean of its divisors is an integer number (590635966760).

Almost surely, 2^{34236633663243} is an apocalyptic number.

34236633663243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34236633663243 is a deficient number, since it is larger than the sum of its proper divisors (22464419145717).

34236633663243 is a wasteful number, since it uses less digits than its factorization.

34236633663243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236006 (or 235929 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 54.

The spelling of 34236633663243 in words is "thirty-four trillion, two hundred thirty-six billion, six hundred thirty-three million, six hundred sixty-three thousand, two hundred forty-three".