345414414543 has 12 divisors (see below), whose sum is σ = 506227186584. Its totient is φ = 209342069200.

The previous prime is 345414414533. The next prime is 345414414571.

345414414543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345414414543 - 2¹⁴ = 345414398159 is a prime.

It is a super-2 number, since 2×345414414543² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345414414495 and 345414414504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345414414533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475777068 + ... + 475777793.

It is an arithmetic number, because the mean of its divisors is an integer number (42185598882).

Almost surely, 2^345414414543 is an apocalyptic number.

345414414543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345414414543 is a deficient number, since it is larger than the sum of its proper divisors (160812772041).

345414414543 is a wasteful number, since it uses less digits than its factorization.

345414414543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951554886 (or 951554875 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 345414 and 414543, that added together give a palindrome (759957).

The spelling of 345414414543 in words is "three hundred forty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred forty-three".