345240042543 has 48 divisors (see below), whose sum is σ = 549621420192. Its totient is φ = 207081600000.

The previous prime is 345240042527. The next prime is 345240042571.

345240042543 is a `hidden beast` number, since 34 + 5 + 2 + 40 + 0 + 42 + 543 = 666.

345240042543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345240042543 - 2⁴ = 345240042527 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345240042498 and 345240042507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345240042503) 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, 32561443 + ... + 32572043.

It is an arithmetic number, because the mean of its divisors is an integer number (11450446254).

Almost surely, 2^345240042543 is an apocalyptic number.

345240042543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345240042543 is a deficient number, since it is larger than the sum of its proper divisors (204381377649).

345240042543 is a wasteful number, since it uses less digits than its factorization.

345240042543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13976 (or 13973 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 3452400 and 42543, that added together give a palindrome (3494943).

The spelling of 345240042543 in words is "three hundred forty-five billion, two hundred forty million, forty-two thousand, five hundred forty-three".