34056116145 has 32 divisors (see below), whose sum is σ = 60554707200. Its totient is φ = 18160111872.

The previous prime is 34056116117. The next prime is 34056116189. The reversal of 34056116145 is 54161165043.

34056116145 is a `hidden beast` number, since 3 + 40 + 561 + 16 + 1 + 45 = 666.

It is not a de Polignac number, because 34056116145 - 2⁹ = 34056115633 is a prime.

It is a super-2 number, since 2×34056116145² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903996 + ... + 940914.

It is an arithmetic number, because the mean of its divisors is an integer number (1892334600).

Almost surely, 2^34056116145 is an apocalyptic number.

It is an amenable number.

34056116145 is a deficient number, since it is larger than the sum of its proper divisors (26498591055).

34056116145 is a wasteful number, since it uses less digits than its factorization.

34056116145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43766 (or 43760 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 34056116145 in words is "thirty-four billion, fifty-six million, one hundred sixteen thousand, one hundred forty-five".