345864888468543 has 8 divisors (see below), whose sum is σ = 473616784209328. Its totient is φ = 224344792520064.

The previous prime is 345864888468523. The next prime is 345864888468563.

345864888468543 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (345864888468523) and next prime (345864888468563).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 345864888468543 - 2²⁹ = 345864351597631 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345864888468523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1557949947946 + ... + 1557949948167.

It is an arithmetic number, because the mean of its divisors is an integer number (59202098026166).

Almost surely, 2^{345864888468543} is an apocalyptic number.

345864888468543 is a deficient number, since it is larger than the sum of its proper divisors (127751895740785).

345864888468543 is a wasteful number, since it uses less digits than its factorization.

345864888468543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115899896153.

The product of its digits is 67947724800, while the sum is 84.

The spelling of 345864888468543 in words is "three hundred forty-five trillion, eight hundred sixty-four billion, eight hundred eighty-eight million, four hundred sixty-eight thousand, five hundred forty-three".