34351111115343 has 144 divisors (see below), whose sum is σ = 58980301361280. Its totient is φ = 19051381440000.

The previous prime is 34351111115339. The next prime is 34351111115389.

34351111115343 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 1 + 1 + 1 + 111 + 534 + 3 = 666.

34351111115343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34351111115343 - 2² = 34351111115339 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34351111115298 and 34351111115307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34351111115393) 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 143 ways as a sum of consecutive naturals, for example, 319304280 + ... + 319411842.

It is an arithmetic number, because the mean of its divisors is an integer number (409585426120).

Almost surely, 2^{34351111115343} is an apocalyptic number.

34351111115343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34351111115343 is a deficient number, since it is larger than the sum of its proper divisors (24629190245937).

34351111115343 is a wasteful number, since it uses less digits than its factorization.

34351111115343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107782 (or 107738 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 34351111115343 in words is "thirty-four trillion, three hundred fifty-one billion, one hundred eleven million, one hundred fifteen thousand, three hundred forty-three".