34968148173 has 120 divisors (see below), whose sum is σ = 61929542400. Its totient is φ = 19602378432.

The previous prime is 34968148151. The next prime is 34968148213. The reversal of 34968148173 is 37184186943.

34968148173 is a `hidden beast` number, since 3 + 4 + 96 + 8 + 1 + 481 + 73 = 666.

It is not a de Polignac number, because 34968148173 - 2⁸ = 34968147917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34968148573) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 71802936 + ... + 71803422.

It is an arithmetic number, because the mean of its divisors is an integer number (516079520).

Almost surely, 2^34968148173 is an apocalyptic number.

It is an amenable number.

34968148173 is a deficient number, since it is larger than the sum of its proper divisors (26961394227).

34968148173 is a wasteful number, since it uses less digits than its factorization.

34968148173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 805 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 34968148173 in words is "thirty-four billion, nine hundred sixty-eight million, one hundred forty-eight thousand, one hundred seventy-three".