34334133143343 has 16 divisors (see below), whose sum is σ = 50043104668416. Its totient is φ = 20765837471040.

The previous prime is 34334133143339. The next prime is 34334133143347.

34334133143343 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34334133143339) and next prime (34334133143347).

It is not a de Polignac number, because 34334133143343 - 2² = 34334133143339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34334133143295 and 34334133143304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334133143347) 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, 1068185446 + ... + 1068217587.

It is an arithmetic number, because the mean of its divisors is an integer number (3127694041776).

Almost surely, 2^{34334133143343} is an apocalyptic number.

34334133143343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34334133143343 is a deficient number, since it is larger than the sum of its proper divisors (15708971525073).

34334133143343 is a wasteful number, since it uses less digits than its factorization.

34334133143343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136403534.

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 3433413 and 3143343, that added together give a palindrome (6576756).

The spelling of 34334133143343 in words is "thirty-four trillion, three hundred thirty-four billion, one hundred thirty-three million, one hundred forty-three thousand, three hundred forty-three".