34353014533353 has 12 divisors (see below), whose sum is σ = 49999807414128. Its totient is φ = 22727185186680.

The previous prime is 34353014533303. The next prime is 34353014533471. The reversal of 34353014533353 is 35333541035343.

34353014533353 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 301 + 4 + 5 + 3 + 335 + 3 = 666.

It is not a de Polignac number, because 34353014533353 - 2¹⁰ = 34353014532329 is a prime.

It is a super-3 number, since 3×34353014533353³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34353014533299 and 34353014533308.

It is not an unprimeable number, because it can be changed into a prime (34353014533303) 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 11 ways as a sum of consecutive naturals, for example, 14568707275 + ... + 14568709632.

It is an arithmetic number, because the mean of its divisors is an integer number (4166650617844).

Almost surely, 2^{34353014533353} is an apocalyptic number.

It is an amenable number.

34353014533353 is a deficient number, since it is larger than the sum of its proper divisors (15646792880775).

34353014533353 is a wasteful number, since it uses less digits than its factorization.

34353014533353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29137417044 (or 29137417041 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 45.

Adding to 34353014533353 its reverse (35333541035343), we get a palindrome (69686555568696).

The spelling of 34353014533353 in words is "thirty-four trillion, three hundred fifty-three billion, fourteen million, five hundred thirty-three thousand, three hundred fifty-three".