182116273618944 has 1520 divisors, whose sum is σ = 666258886444800. Its totient is φ = 48414792351744.

The previous prime is 182116273618927. The next prime is 182116273618969. The reversal of 182116273618944 is 449816372611281.

It is a happy number.

182116273618944 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 1 + 6 + 2 + 7 + 3 + 618 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166620560862 + ... + 166620561954.

Almost surely, 2^{182116273618944} is an apocalyptic number.

182116273618944 is a gapful number since it is divisible by the number (14) 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 182116273618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333129443222400).

182116273618944 is an abundant number, since it is smaller than the sum of its proper divisors (484142612825856).

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

182116273618944 is an frugal number, since it uses more digits than its factorization.

182116273618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1183 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 182116273618944 in words is "one hundred eighty-two trillion, one hundred sixteen billion, two hundred seventy-three million, six hundred eighteen thousand, nine hundred forty-four".