34164542313 has 20 divisors (see below), whose sum is σ = 55675551888. Its totient is φ = 20705782680.

The previous prime is 34164542311. The next prime is 34164542351. The reversal of 34164542313 is 31324546143.

34164542313 is a `hidden beast` number, since 3 + 4 + 1 + 645 + 4 + 2 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 34164542313 - 2¹ = 34164542311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34164542311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19171131 + ... + 19172912.

Almost surely, 2^34164542313 is an apocalyptic number.

34164542313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34164542313 is a deficient number, since it is larger than the sum of its proper divisors (21511009575).

34164542313 is a wasteful number, since it uses less digits than its factorization.

34164542313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38344066 (or 38344057 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 34164542313 in words is "thirty-four billion, one hundred sixty-four million, five hundred forty-two thousand, three hundred thirteen".