182116316928 has 1152 divisors, whose sum is σ = 672498892800. Its totient is φ = 42393010176.

The previous prime is 182116316927. The next prime is 182116316929. The reversal of 182116316928 is 829613611281.

It is a happy number.

182116316928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (182116316927) and next prime (182116316929).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182116316927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2046250708 + ... + 2046250796.

It is an arithmetic number, because the mean of its divisors is an integer number (583766400).

Almost surely, 2^182116316928 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 182116316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336249446400).

182116316928 is an abundant number, since it is smaller than the sum of its proper divisors (490382575872).

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

182116316928 is a wasteful number, since it uses less digits than its factorization.

182116316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The spelling of 182116316928 in words is "one hundred eighty-two billion, one hundred sixteen million, three hundred sixteen thousand, nine hundred twenty-eight".