33333322000000 has 672 divisors, whose sum is σ = 91863430773660. Its totient is φ = 12038400000000.

The previous prime is 33333321999997. The next prime is 33333322000001. The reversal of 33333322000000 is 22333333.

It can be written as a sum of positive squares in 14 ways, for example, as 29468134543936 + 3865187456064 = 5428456^2 + 1966008^2 .

It is a super-2 number, since 2×33333322000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33333322000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43801999620 + ... + 43802000380.

Almost surely, 2^{33333322000000} 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 33333322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45931715386830).

33333322000000 is an abundant number, since it is smaller than the sum of its proper divisors (58530108773660).

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

33333322000000 is an frugal number, since it uses more digits than its factorization.

33333322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

Adding to 33333322000000 its reverse (22333333), we get a palindrome (33333344333333).

The spelling of 33333322000000 in words is "thirty-three trillion, three hundred thirty-three billion, three hundred twenty-two million", and thus it is an aban number.