4517834125168 has 120 divisors (see below), whose sum is σ = 10983998541600. Its totient is φ = 1784288862720.

The previous prime is 4517834125139. The next prime is 4517834125199. The reversal of 4517834125168 is 8615214387154.

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, 5734998 + ... + 6475018.

It is an arithmetic number, because the mean of its divisors is an integer number (91533321180).

Almost surely, 2^{4517834125168} 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 4517834125168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491999270800).

4517834125168 is an abundant number, since it is smaller than the sum of its proper divisors (6466164416432).

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

4517834125168 is a wasteful number, since it uses less digits than its factorization.

4517834125168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740655 (or 740642 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 55.

The spelling of 4517834125168 in words is "four trillion, five hundred seventeen billion, eight hundred thirty-four million, one hundred twenty-five thousand, one hundred sixty-eight".