4331814942168 has 384 divisors, whose sum is σ = 13832881920000. Its totient is φ = 1198959584256.

The previous prime is 4331814942167. The next prime is 4331814942181. The reversal of 4331814942168 is 8612494181334.

4331814942168 is a `hidden beast` number, since 4 + 3 + 3 + 18 + 149 + 421 + 68 = 666.

4331814942168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331814942167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1393312998 + ... + 1393316106.

It is an arithmetic number, because the mean of its divisors is an integer number (36023130000).

Almost surely, 2^{4331814942168} 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 4331814942168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916440960000).

4331814942168 is an abundant number, since it is smaller than the sum of its proper divisors (9501066977832).

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

4331814942168 is a wasteful number, since it uses less digits than its factorization.

4331814942168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3672 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 4331814942168 in words is "four trillion, three hundred thirty-one billion, eight hundred fourteen million, nine hundred forty-two thousand, one hundred sixty-eight".