328348018893312 has 480 divisors, whose sum is σ = 1035644390516736. Its totient is φ = 99320454144000.

The previous prime is 328348018893299. The next prime is 328348018893313. The reversal of 328348018893312 is 213398810843823.

328348018893312 is a `hidden beast` number, since 3 + 2 + 83 + 4 + 80 + 1 + 88 + 93 + 312 = 666.

It is a super-2 number, since 2×328348018893312² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 328348018893312.

It is not an unprimeable number, because it can be changed into a prime (328348018893313) 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 47 ways as a sum of consecutive naturals, for example, 117141639303 + ... + 117141642105.

Almost surely, 2^{328348018893312} is an apocalyptic number.

328348018893312 is a gapful number since it is divisible by the number (32) 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 328348018893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517822195258368).

328348018893312 is an abundant number, since it is smaller than the sum of its proper divisors (707296371623424).

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

328348018893312 is a wasteful number, since it uses less digits than its factorization.

328348018893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 328348018893312 in words is "three hundred twenty-eight trillion, three hundred forty-eight billion, eighteen million, eight hundred ninety-three thousand, three hundred twelve".