34164616144 has 20 divisors (see below), whose sum is σ = 66359028420. Its totient is φ = 17039705600.

The previous prime is 34164616133. The next prime is 34164616247. The reversal of 34164616144 is 44161646143.

It can be written as a sum of positive squares in 2 ways, for example, as 32946606144 + 1218010000 = 181512^2 + 34900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34164616097 and 34164616106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2656039 + ... + 2668870.

It is an arithmetic number, because the mean of its divisors is an integer number (3317951421).

Almost surely, 2^34164616144 is an apocalyptic number.

It is an amenable number.

34164616144 is a deficient number, since it is larger than the sum of its proper divisors (32194412276).

34164616144 is a wasteful number, since it uses less digits than its factorization.

34164616144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325318 (or 5325312 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The spelling of 34164616144 in words is "thirty-four billion, one hundred sixty-four million, six hundred sixteen thousand, one hundred forty-four".