345365563543 has 48 divisors (see below), whose sum is σ = 472270738464. Its totient is φ = 248266045440.

The previous prime is 345365563493. The next prime is 345365563553.

345365563543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-345365563543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345365563553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12437571 + ... + 12465307.

It is an arithmetic number, because the mean of its divisors is an integer number (9838973718).

Almost surely, 2^345365563543 is an apocalyptic number.

345365563543 is a deficient number, since it is larger than the sum of its proper divisors (126905174921).

345365563543 is a wasteful number, since it uses less digits than its factorization.

345365563543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29552 (or 29545 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 52.

The spelling of 345365563543 in words is "three hundred forty-five billion, three hundred sixty-five million, five hundred sixty-three thousand, five hundred forty-three".