34352555525343 has 16 divisors (see below), whose sum is σ = 55519281657600. Its totient is φ = 20819730621240.

The previous prime is 34352555525303. The next prime is 34352555525359.

It is a happy number.

34352555525343 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 2 + 5 + 55 + 52 + 534 + 3 = 666.

34352555525343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34352555525343 - 2⁸ = 34352555525087 is a prime.

It is a super-2 number, since 2×34352555525343² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34352555525343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34352555525303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57832584763 + ... + 57832585356.

It is an arithmetic number, because the mean of its divisors is an integer number (3469955103600).

Almost surely, 2^{34352555525343} is an apocalyptic number.

34352555525343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34352555525343 is a deficient number, since it is larger than the sum of its proper divisors (21166726132257).

34352555525343 is a wasteful number, since it uses less digits than its factorization.

34352555525343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115665170139 (or 115665170133 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 34352555525343 in words is "thirty-four trillion, three hundred fifty-two billion, five hundred fifty-five million, five hundred twenty-five thousand, three hundred forty-three".