33013625216000 has 352 divisors, whose sum is σ = 96760738226880. Its totient is φ = 11081490432000.

The previous prime is 33013625215951. The next prime is 33013625216003. The reversal of 33013625216000 is 61252631033.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×33013625216000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33013625216003) 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 31 ways as a sum of consecutive naturals, for example, 17402186 + ... + 19205814.

Almost surely, 2^{33013625216000} 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 33013625216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48380369113440).

33013625216000 is an abundant number, since it is smaller than the sum of its proper divisors (63747113010880).

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

33013625216000 is a wasteful number, since it uses less digits than its factorization.

33013625216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803688 (or 1803660 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 33013625216000 its reverse (61252631033), we get a palindrome (33074877847033).

The spelling of 33013625216000 in words is "thirty-three trillion, thirteen billion, six hundred twenty-five million, two hundred sixteen thousand".