33433000000000 has 400 divisors, whose sum is σ = 84916983492000. Its totient is φ = 13147200000000.

The previous prime is 33432999999983. The next prime is 33433000000003. The reversal of 33433000000000 is 33433.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×33433000000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (33433000000003) 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 39 ways as a sum of consecutive naturals, for example, 66999999751 + ... + 67000000249.

It is an arithmetic number, because the mean of its divisors is an integer number (212292458730).

Almost surely, 2^{33433000000000} 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 33433000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42458491746000).

33433000000000 is an abundant number, since it is smaller than the sum of its proper divisors (51483983492000).

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

33433000000000 is an frugal number, since it uses more digits than its factorization.

33433000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 33433000000000 its reverse (33433), we get a palindrome (33433000033433).

33433000000000 divided by its reverse (33433) gives a 9-th power (1000000000 = 10⁹).

The spelling of 33433000000000 in words is "thirty-three trillion, four hundred thirty-three billion", and thus it is an aban number.