34546011064543 has 16 divisors (see below), whose sum is σ = 37861024481280. Its totient is φ = 31260407047200.

The previous prime is 34546011064531. The next prime is 34546011064567.

34546011064543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34546011064543 - 2²¹ = 34546008967391 is a prime.

It is a super-3 number, since 3×34546011064543³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 34546011064493 and 34546011064502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34546011067543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6205023 + ... + 10372768.

It is an arithmetic number, because the mean of its divisors is an integer number (2366314030080).

Almost surely, 2^{34546011064543} is an apocalyptic number.

34546011064543 is a deficient number, since it is larger than the sum of its proper divisors (3315013416737).

34546011064543 is a wasteful number, since it uses less digits than its factorization.

34546011064543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16578678.

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 34546011064543 in words is "thirty-four trillion, five hundred forty-six billion, eleven million, sixty-four thousand, five hundred forty-three".