345465564543 has 32 divisors (see below), whose sum is σ = 558361382400. Its totient is φ = 209360620800.

The previous prime is 345465564533. The next prime is 345465564623.

345465564543 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 6 + 556 + 45 + 43 = 666.

345465564543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345465564543 - 2⁸ = 345465564287 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345465564543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345465564523) 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 31 ways as a sum of consecutive naturals, for example, 8554543 + ... + 8594831.

It is an arithmetic number, because the mean of its divisors is an integer number (17448793200).

Almost surely, 2^345465564543 is an apocalyptic number.

345465564543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345465564543 is a deficient number, since it is larger than the sum of its proper divisors (212895817857).

345465564543 is a wasteful number, since it uses less digits than its factorization.

345465564543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69180 (or 69174 counting only the distinct ones).

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

The spelling of 345465564543 in words is "three hundred forty-five billion, four hundred sixty-five million, five hundred sixty-four thousand, five hundred forty-three".