182642114823168 has 2816 divisors, whose sum is σ = 700847942860800. Its totient is φ = 41617981440000.

The previous prime is 182642114823149. The next prime is 182642114823197. The reversal of 182642114823168 is 861328411246281.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 284933096128 + ... + 284933096768.

Almost surely, 2^{182642114823168} 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 182642114823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350423971430400).

182642114823168 is an abundant number, since it is smaller than the sum of its proper divisors (518205828037632).

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

182642114823168 is a wasteful number, since it uses less digits than its factorization.

182642114823168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 769 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The spelling of 182642114823168 in words is "one hundred eighty-two trillion, six hundred forty-two billion, one hundred fourteen million, eight hundred twenty-three thousand, one hundred sixty-eight".