34325133152343 has 48 divisors (see below), whose sum is σ = 52228636981248. Its totient is φ = 20015671579200.

The previous prime is 34325133152341. The next prime is 34325133152347.

34325133152343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34325133152343 - 2¹ = 34325133152341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34325133152295 and 34325133152304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34325133152341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6869155 + ... + 10762692.

It is an arithmetic number, because the mean of its divisors is an integer number (1088096603776).

Almost surely, 2^{34325133152343} is an apocalyptic number.

34325133152343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34325133152343 is a deficient number, since it is larger than the sum of its proper divisors (17903503828905).

34325133152343 is a wasteful number, since it uses less digits than its factorization.

34325133152343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632076 (or 17632065 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 42.

It can be divided in two parts, 3432513 and 3152343, that added together give a palindrome (6584856).

The spelling of 34325133152343 in words is "thirty-four trillion, three hundred twenty-five billion, one hundred thirty-three million, one hundred fifty-two thousand, three hundred forty-three".