68182114176 has 384 divisors, whose sum is σ = 222990768000. Its totient is φ = 20565964800.

The previous prime is 68182114171. The next prime is 68182114241. The reversal of 68182114176 is 67141128186.

68182114176 is a `hidden beast` number, since 6 + 8 + 18 + 211 + 417 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68182114171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119407971 + ... + 119408541.

It is an arithmetic number, because the mean of its divisors is an integer number (580705125).

Almost surely, 2^68182114176 is an apocalyptic number.

68182114176 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68182114176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111495384000).

68182114176 is an abundant number, since it is smaller than the sum of its proper divisors (154808653824).

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

68182114176 is a wasteful number, since it uses less digits than its factorization.

68182114176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 936 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 68182114176 in words is "sixty-eight billion, one hundred eighty-two million, one hundred fourteen thousand, one hundred seventy-six".