345504405543 has 64 divisors (see below), whose sum is σ = 541207941120. Its totient is φ = 193848076800.

The previous prime is 345504405511. The next prime is 345504405569.

345504405543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345504405543 - 2⁵ = 345504405511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345504405495 and 345504405504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345504405143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4996080 + ... + 5064762.

It is an arithmetic number, because the mean of its divisors is an integer number (8456374080).

Almost surely, 2^345504405543 is an apocalyptic number.

345504405543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345504405543 is a deficient number, since it is larger than the sum of its proper divisors (195703535577).

345504405543 is a wasteful number, since it uses less digits than its factorization.

345504405543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68900.

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 345504405543 in words is "three hundred forty-five billion, five hundred four million, four hundred five thousand, five hundred forty-three".