33441322314432 has 112 divisors (see below), whose sum is σ = 88963368814080. Its totient is φ = 11086350062592.

The previous prime is 33441322314431. The next prime is 33441322314451. The reversal of 33441322314432 is 23441322314433.

It is a super-2 number, since 2×33441322314432² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33441322314431) 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 15 ways as a sum of consecutive naturals, for example, 35650858 + ... + 36576854.

Almost surely, 2^{33441322314432} is an apocalyptic number.

33441322314432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33441322314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44481684407040).

33441322314432 is an abundant number, since it is smaller than the sum of its proper divisors (55522046499648).

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

33441322314432 is a wasteful number, since it uses less digits than its factorization.

33441322314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927038 (or 927028 counting only the distinct ones).

The product of its digits is 497664, while the sum is 39.

Adding to 33441322314432 its reverse (23441322314433), we get a palindrome (56882644628865).

Subtracting from 33441322314432 its reverse (23441322314433), we obtain a palindrome (9999999999999).

The spelling of 33441322314432 in words is "thirty-three trillion, four hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, four hundred thirty-two".