33203442144 has 96 divisors (see below), whose sum is σ = 88421760000. Its totient is φ = 10907979264.

The previous prime is 33203442143. The next prime is 33203442157. The reversal of 33203442144 is 44124430233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33203442144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33203442143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4539162 + ... + 4546470.

It is an arithmetic number, because the mean of its divisors is an integer number (921060000).

Almost surely, 2^33203442144 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 33203442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44210880000).

33203442144 is an abundant number, since it is smaller than the sum of its proper divisors (55218317856).

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

33203442144 is a wasteful number, since it uses less digits than its factorization.

33203442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 33203442144 its reverse (44124430233), we get a palindrome (77327872377).

The spelling of 33203442144 in words is "thirty-three billion, two hundred three million, four hundred forty-two thousand, one hundred forty-four".