34546044064543 has 32 divisors (see below), whose sum is σ = 38527627102272. Its totient is φ = 30714157824000.

The previous prime is 34546044064537. The next prime is 34546044064549.

It is a happy number.

34546044064543 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34546044064537) and next prime (34546044064549).

It is a cyclic number.

It is not a de Polignac number, because 34546044064543 - 2²⁵ = 34546010510111 is a prime.

It is a super-3 number, since 3×34546044064543³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34546044064549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36314521 + ... + 37253677.

It is an arithmetic number, because the mean of its divisors is an integer number (1203988346946).

Almost surely, 2^{34546044064543} is an apocalyptic number.

34546044064543 is a deficient number, since it is larger than the sum of its proper divisors (3981583037729).

34546044064543 is a wasteful number, since it uses less digits than its factorization.

34546044064543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939675.

The product of its (nonzero) digits is 33177600, while the sum is 52.

The spelling of 34546044064543 in words is "thirty-four trillion, five hundred forty-six billion, forty-four million, sixty-four thousand, five hundred forty-three".