34465655656443 has 16 divisors (see below), whose sum is σ = 50131986057216. Its totient is φ = 20888224787040.

The previous prime is 34465655656403. The next prime is 34465655656507.

It is a happy number.

34465655656443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34465655656443 - 2¹² = 34465655652347 is a prime.

It is a super-3 number, since 3×34465655656443³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34465655656403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15684646 + ... + 17746532.

It is an arithmetic number, because the mean of its divisors is an integer number (3133249128576).

Almost surely, 2^{34465655656443} is an apocalyptic number.

34465655656443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34465655656443 is a deficient number, since it is larger than the sum of its proper divisors (15666330400773).

34465655656443 is a wasteful number, since it uses less digits than its factorization.

34465655656443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568434.

The product of its digits is 1866240000, while the sum is 66.

The spelling of 34465655656443 in words is "thirty-four trillion, four hundred sixty-five billion, six hundred fifty-five million, six hundred fifty-six thousand, four hundred forty-three".