34314145165 has 64 divisors (see below), whose sum is σ = 45685555200. Its totient is φ = 24654133504.

The previous prime is 34314145069. The next prime is 34314145169. The reversal of 34314145165 is 56154141343.

It is not a de Polignac number, because 34314145165 - 2⁷ = 34314145037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314145169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28056744 + ... + 28057966.

It is an arithmetic number, because the mean of its divisors is an integer number (713836800).

Almost surely, 2^34314145165 is an apocalyptic number.

It is an amenable number.

34314145165 is a deficient number, since it is larger than the sum of its proper divisors (11371410035).

34314145165 is a wasteful number, since it uses less digits than its factorization.

34314145165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506.

The product of its digits is 86400, while the sum is 37.

The spelling of 34314145165 in words is "thirty-four billion, three hundred fourteen million, one hundred forty-five thousand, one hundred sixty-five".