34413216565 has 32 divisors (see below), whose sum is σ = 51166886400. Its totient is φ = 21636198144.

The previous prime is 34413216553. The next prime is 34413216577. The reversal of 34413216565 is 56561231443.

It is an interprime number because it is at equal distance from previous prime (34413216553) and next prime (34413216577).

It is a cyclic number.

It is not a de Polignac number, because 34413216565 - 2¹⁷ = 34413085493 is a prime.

It is a super-3 number, since 3×34413216565³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186009 + ... + 321598.

It is an arithmetic number, because the mean of its divisors is an integer number (1598965200).

Almost surely, 2^34413216565 is an apocalyptic number.

34413216565 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34413216565 is a deficient number, since it is larger than the sum of its proper divisors (16753669835).

34413216565 is a wasteful number, since it uses less digits than its factorization.

34413216565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507781.

The product of its digits is 259200, while the sum is 40.

The spelling of 34413216565 in words is "thirty-four billion, four hundred thirteen million, two hundred sixteen thousand, five hundred sixty-five".