34132117185184 has 96 divisors (see below), whose sum is σ = 70669105879680. Its totient is φ = 16196096716800.

The previous prime is 34132117185157. The next prime is 34132117185197. The reversal of 34132117185184 is 48158171123143.

It is a super-2 number, since 2×34132117185184² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502196964 + ... + 502264924.

It is an arithmetic number, because the mean of its divisors is an integer number (736136519580).

Almost surely, 2^{34132117185184} 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 34132117185184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35334552939840).

34132117185184 is an abundant number, since it is smaller than the sum of its proper divisors (36536988694496).

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

34132117185184 is a wasteful number, since it uses less digits than its factorization.

34132117185184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73334 (or 73326 counting only the distinct ones).

The product of its digits is 645120, while the sum is 49.

The spelling of 34132117185184 in words is "thirty-four trillion, one hundred thirty-two billion, one hundred seventeen million, one hundred eighty-five thousand, one hundred eighty-four".