345964505469543 has 6 divisors (see below), whose sum is σ = 499726507900464. Its totient is φ = 230643003646356.

The previous prime is 345964505469509. The next prime is 345964505469593.

345964505469543 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 6 + 4 + 505 + 4 + 69 + 54 + 3 = 666.

345964505469543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-345964505469543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345964505469593) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19220250303855 + ... + 19220250303872.

It is an arithmetic number, because the mean of its divisors is an integer number (83287751316744).

Almost surely, 2^{345964505469543} is an apocalyptic number.

345964505469543 is a deficient number, since it is larger than the sum of its proper divisors (153762002430921).

345964505469543 is a wasteful number, since it uses less digits than its factorization.

345964505469543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38440500607733 (or 38440500607730 counting only the distinct ones).

The product of its (nonzero) digits is 4199040000, while the sum is 72.

The spelling of 345964505469543 in words is "three hundred forty-five trillion, nine hundred sixty-four billion, five hundred five million, four hundred sixty-nine thousand, five hundred forty-three".