330882144768 has 240 divisors, whose sum is σ = 1113647620800. Its totient is φ = 94537304064.

The previous prime is 330882144743. The next prime is 330882144773. The reversal of 330882144768 is 867441288033.

It is a super-3 number, since 3×330882144768³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1475871 + ... + 1685217.

It is an arithmetic number, because the mean of its divisors is an integer number (4640198420).

Almost surely, 2^330882144768 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 330882144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556823810400).

330882144768 is an abundant number, since it is smaller than the sum of its proper divisors (782765476032).

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

330882144768 is an equidigital number, since it uses as much as digits as its factorization.

330882144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209392 (or 209359 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 330882144768 in words is "three hundred thirty billion, eight hundred eighty-two million, one hundred forty-four thousand, seven hundred sixty-eight".