33240323013216 has 192 divisors, whose sum is σ = 96981997787136. Its totient is φ = 9884406067200.

The previous prime is 33240323013197. The next prime is 33240323013217. The reversal of 33240323013216 is 61231032304233.

It is a super-2 number, since 2×33240323013216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240323013217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14091921 + ... + 16280751.

It is an arithmetic number, because the mean of its divisors is an integer number (505114571808).

Almost surely, 2^{33240323013216} 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 33240323013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48490998893568).

33240323013216 is an abundant number, since it is smaller than the sum of its proper divisors (63741674773920).

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

33240323013216 is a wasteful number, since it uses less digits than its factorization.

33240323013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189125 (or 2189117 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 33240323013216 its reverse (61231032304233), we get a palindrome (94471355317449).

The spelling of 33240323013216 in words is "thirty-three trillion, two hundred forty billion, three hundred twenty-three million, thirteen thousand, two hundred sixteen".