34116018345 has 64 divisors (see below), whose sum is σ = 61172858880. Its totient is φ = 18039153600.

The previous prime is 34116018331. The next prime is 34116018367. The reversal of 34116018345 is 54381061143.

34116018345 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 601 + 8 + 3 + 45 = 666.

It is not a de Polignac number, because 34116018345 - 2¹² = 34116014249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9715140 + ... + 9718650.

It is an arithmetic number, because the mean of its divisors is an integer number (955825920).

Almost surely, 2^34116018345 is an apocalyptic number.

It is an amenable number.

34116018345 is a deficient number, since it is larger than the sum of its proper divisors (27056840535).

34116018345 is a wasteful number, since it uses less digits than its factorization.

34116018345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 34116018345 its reverse (54381061143), we get a palindrome (88497079488).

The spelling of 34116018345 in words is "thirty-four billion, one hundred sixteen million, eighteen thousand, three hundred forty-five".