328328166144 has 288 divisors, whose sum is σ = 970720128000. Its totient is φ = 97686650880.

The previous prime is 328328166077. The next prime is 328328166151. The reversal of 328328166144 is 441661823823.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 328328166093 and 328328166102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128805382 + ... + 128807930.

It is an arithmetic number, because the mean of its divisors is an integer number (3370556000).

Almost surely, 2^328328166144 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 328328166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485360064000).

328328166144 is an abundant number, since it is smaller than the sum of its proper divisors (642391961856).

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

328328166144 is a wasteful number, since it uses less digits than its factorization.

328328166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2837 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

Adding to 328328166144 its reverse (441661823823), we get a palindrome (769989989967).

The spelling of 328328166144 in words is "three hundred twenty-eight billion, three hundred twenty-eight million, one hundred sixty-six thousand, one hundred forty-four".