34115566121 has 16 divisors (see below), whose sum is σ = 42061987968. Its totient is φ = 26945222400.

The previous prime is 34115566103. The next prime is 34115566127. The reversal of 34115566121 is 12166551143.

It is a cyclic number.

It is not a de Polignac number, because 34115566121 - 2¹⁴ = 34115549737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34115566127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276320 + ... + 380241.

It is an arithmetic number, because the mean of its divisors is an integer number (2628874248).

Almost surely, 2^34115566121 is an apocalyptic number.

It is an amenable number.

34115566121 is a deficient number, since it is larger than the sum of its proper divisors (7946421847).

34115566121 is a wasteful number, since it uses less digits than its factorization.

34115566121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657152.

The product of its digits is 21600, while the sum is 35.

The spelling of 34115566121 in words is "thirty-four billion, one hundred fifteen million, five hundred sixty-six thousand, one hundred twenty-one".