345369963543 has 64 divisors (see below), whose sum is σ = 526837243392. Its totient is φ = 199394887680.

The previous prime is 345369963517. The next prime is 345369963563.

345369963543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345369963543 - 2⁵ = 345369963511 is a prime.

It is a super-2 number, since 2×345369963543² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345369963503) 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 63 ways as a sum of consecutive naturals, for example, 12197080 + ... + 12225362.

It is an arithmetic number, because the mean of its divisors is an integer number (8231831928).

Almost surely, 2^345369963543 is an apocalyptic number.

345369963543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345369963543 is a deficient number, since it is larger than the sum of its proper divisors (181467279849).

345369963543 is a wasteful number, since it uses less digits than its factorization.

345369963543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28544.

The product of its digits is 94478400, while the sum is 60.

It can be divided in two parts, 3453 and 69963543, that added together give a palindrome (69966996).

The spelling of 345369963543 in words is "three hundred forty-five billion, three hundred sixty-nine million, nine hundred sixty-three thousand, five hundred forty-three".