33022145024000 has 416 divisors, whose sum is σ = 93005966327040. Its totient is φ = 11593924608000.

The previous prime is 33022145023939. The next prime is 33022145024009. The reversal of 33022145024000 is 42054122033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33022145024009) 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, 163226909 + ... + 163429091.

It is an arithmetic number, because the mean of its divisors is an integer number (223572034440).

Almost surely, 2^{33022145024000} 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 33022145024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46502983163520).

33022145024000 is an abundant number, since it is smaller than the sum of its proper divisors (59983821303040).

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

33022145024000 is a wasteful number, since it uses less digits than its factorization.

33022145024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202262 (or 202230 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 33022145024000 its reverse (42054122033), we get a palindrome (33064199146033).

The spelling of 33022145024000 in words is "thirty-three trillion, twenty-two billion, one hundred forty-five million, twenty-four thousand".