33242561320144 has 80 divisors (see below), whose sum is σ = 72707395803840. Its totient is φ = 14584824576000.

The previous prime is 33242561320121. The next prime is 33242561320159. The reversal of 33242561320144 is 44102316524233.

It is a super-2 number, since 2×33242561320144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33242561320097 and 33242561320106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16023784 + ... + 17979064.

It is an arithmetic number, because the mean of its divisors is an integer number (908842447548).

Almost surely, 2^{33242561320144} 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 33242561320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36353697901920).

33242561320144 is an abundant number, since it is smaller than the sum of its proper divisors (39464834483696).

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

33242561320144 is a wasteful number, since it uses less digits than its factorization.

33242561320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958660 (or 1958654 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 33242561320144 its reverse (44102316524233), we get a palindrome (77344877844377).

The spelling of 33242561320144 in words is "thirty-three trillion, two hundred forty-two billion, five hundred sixty-one million, three hundred twenty thousand, one hundred forty-four".