330033000000 has 784 divisors, whose sum is σ = 1215850686912. Its totient is φ = 78336000000.

The previous prime is 330032999951. The next prime is 330033000013. The reversal of 330033000000 is 330033.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 330033000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2408999932 + ... + 2409000068.

Almost surely, 2^330033000000 is an apocalyptic number.

330033000000 is a gapful number since it is divisible by the number (30) 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 330033000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607925343456).

330033000000 is an abundant number, since it is smaller than the sum of its proper divisors (885817686912).

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

330033000000 is an equidigital number, since it uses as much as digits as its factorization.

330033000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 12.

Adding to 330033000000 its reverse (330033), we get a palindrome (330033330033).

330033000000 divided by its reverse (330033) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 3300 and 33000000, that multiplied together give a square (108900000000 = 330000²).

The spelling of 330033000000 in words is "three hundred thirty billion, thirty-three million", and thus it is an aban number.