33144132330 has 48 divisors (see below), whose sum is σ = 87355237320. Its totient is φ = 8717359104.

The previous prime is 33144132289. The next prime is 33144132347. The reversal of 33144132330 is 3323144133.

33144132330 is a `hidden beast` number, since 3 + 3 + 14 + 413 + 233 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16879466241 + 16264666089 = 129921^2 + 127533^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33144132294 and 33144132303.

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, 2515815 + ... + 2528954.

Almost surely, 2^33144132330 is an apocalyptic number.

33144132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33144132330 is an abundant number, since it is smaller than the sum of its proper divisors (54211104990).

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

33144132330 is a wasteful number, since it uses less digits than its factorization.

33144132330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044855 (or 5044852 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33144132330 its reverse (3323144133), we get a palindrome (36467276463).

The spelling of 33144132330 in words is "thirty-three billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred thirty".