34506455460543 has 128 divisors (see below), whose sum is σ = 61211190205440. Its totient is φ = 18971867381760.

The previous prime is 34506455460517. The next prime is 34506455460563.

34506455460543 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 6 + 4 + 55 + 46 + 0 + 543 = 666.

34506455460543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34506455460543 - 2⁹ = 34506455460031 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34506455460543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34506455460563) 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 127 ways as a sum of consecutive naturals, for example, 19125855 + ... + 20852127.

It is an arithmetic number, because the mean of its divisors is an integer number (478212423480).

Almost surely, 2^{34506455460543} is an apocalyptic number.

34506455460543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34506455460543 is a deficient number, since it is larger than the sum of its proper divisors (26704734744897).

34506455460543 is a wasteful number, since it uses less digits than its factorization.

34506455460543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726454 (or 1726448 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 54.

The spelling of 34506455460543 in words is "thirty-four trillion, five hundred six billion, four hundred fifty-five million, four hundred sixty thousand, five hundred forty-three".