34245333354243 has 64 divisors (see below), whose sum is σ = 55057981934592. Its totient is φ = 18676636999680.

The previous prime is 34245333354241. The next prime is 34245333354251.

It is a happy number.

34245333354243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34245333354243 - 2¹ = 34245333354241 is a prime.

It is a super-2 number, since 2×34245333354243² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34245333354192 and 34245333354201.

It is not an unprimeable number, because it can be changed into a prime (34245333354241) 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 63 ways as a sum of consecutive naturals, for example, 29849355 + ... + 30975387.

It is an arithmetic number, because the mean of its divisors is an integer number (860280967728).

Almost surely, 2^{34245333354243} is an apocalyptic number.

34245333354243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34245333354243 is a deficient number, since it is larger than the sum of its proper divisors (20812648580349).

34245333354243 is a wasteful number, since it uses less digits than its factorization.

34245333354243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128444.

The product of its digits is 18662400, while the sum is 48.

It can be divided in two parts, 3424533 and 3354243, that added together give a palindrome (6778776).

The spelling of 34245333354243 in words is "thirty-four trillion, two hundred forty-five billion, three hundred thirty-three million, three hundred fifty-four thousand, two hundred forty-three".