34354222245343 has 32 divisors (see below), whose sum is σ = 46131973655040. Its totient is φ = 24707102060160.

The previous prime is 34354222245331. The next prime is 34354222245361.

34354222245343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34354222245343 - 2⁵ = 34354222245311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34354222245293 and 34354222245302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354222245443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5439096 + ... + 9914242.

It is an arithmetic number, because the mean of its divisors is an integer number (1441624176720).

Almost surely, 2^{34354222245343} is an apocalyptic number.

34354222245343 is a deficient number, since it is larger than the sum of its proper divisors (11777751409697).

34354222245343 is a wasteful number, since it uses less digits than its factorization.

34354222245343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482847.

The product of its digits is 8294400, while the sum is 46.

The spelling of 34354222245343 in words is "thirty-four trillion, three hundred fifty-four billion, two hundred twenty-two million, two hundred forty-five thousand, three hundred forty-three".