34123055053208 has 96 divisors (see below), whose sum is σ = 70477280571600. Its totient is φ = 15477125157120.

The previous prime is 34123055053193. The next prime is 34123055053237. The reversal of 34123055053208 is 80235055032143.

It is a super-3 number, since 3×34123055053208³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196572166 + ... + 1196600682.

Almost surely, 2^{34123055053208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34123055053208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35238640285800).

34123055053208 is an abundant number, since it is smaller than the sum of its proper divisors (36354225518392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34123055053208 is a wasteful number, since it uses less digits than its factorization.

34123055053208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31161 (or 31146 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 34123055053208 in words is "thirty-four trillion, one hundred twenty-three billion, fifty-five million, fifty-three thousand, two hundred eight".