345342267316563 has 64 divisors (see below), whose sum is σ = 505986132782592. Its totient is φ = 207774281594880.

The previous prime is 345342267316559. The next prime is 345342267316649. The reversal of 345342267316563 is 365613762243543.

It is not a de Polignac number, because 345342267316563 - 2² = 345342267316559 is a prime.

It is a super-2 number, since 2×345342267316563² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 345342267316497 and 345342267316506.

It is not an unprimeable number, because it can be changed into a prime (345342267311563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6491735481 + ... + 6491788677.

It is an arithmetic number, because the mean of its divisors is an integer number (7906033324728).

Almost surely, 2^{345342267316563} is an apocalyptic number.

345342267316563 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345342267316563 is a deficient number, since it is larger than the sum of its proper divisors (160643865466029).

345342267316563 is a wasteful number, since it uses less digits than its factorization.

345342267316563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55604.

The product of its digits is 195955200, while the sum is 60.

The spelling of 345342267316563 in words is "three hundred forty-five trillion, three hundred forty-two billion, two hundred sixty-seven million, three hundred sixteen thousand, five hundred sixty-three".