33125344000 has 144 divisors (see below), whose sum is σ = 94308492096. Its totient is φ = 11357184000.

The previous prime is 33125343997. The next prime is 33125344001. The reversal of 33125344000 is 44352133.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (33125344001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150060 + ... + 297940.

It is an arithmetic number, because the mean of its divisors is an integer number (654920084).

Almost surely, 2^33125344000 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 33125344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47154246048).

33125344000 is an abundant number, since it is smaller than the sum of its proper divisors (61183148096).

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

33125344000 is an equidigital number, since it uses as much as digits as its factorization.

33125344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147919 (or 147895 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 33125344000 its reverse (44352133), we get a palindrome (33169696133).

The spelling of 33125344000 in words is "thirty-three billion, one hundred twenty-five million, three hundred forty-four thousand".