182464030116072 has 320 divisors, whose sum is σ = 523736021318400. Its totient is φ = 59333771427840.

The previous prime is 182464030116019. The next prime is 182464030116083. The reversal of 182464030116072 is 270611030464281.

182464030116072 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 6 + 4 + 0 + 30 + 1 + 1 + 607 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3244411329 + ... + 3244467567.

It is an arithmetic number, because the mean of its divisors is an integer number (1636675066620).

Almost surely, 2^{182464030116072} is an apocalyptic number.

182464030116072 is a gapful number since it is divisible by the number (12) 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 182464030116072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261868010659200).

182464030116072 is an abundant number, since it is smaller than the sum of its proper divisors (341271991202328).

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

182464030116072 is a wasteful number, since it uses less digits than its factorization.

182464030116072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57078 (or 57065 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 182464030116072 in words is "one hundred eighty-two trillion, four hundred sixty-four billion, thirty million, one hundred sixteen thousand, seventy-two".