332003201334432 has 192 divisors, whose sum is σ = 938484401904000. Its totient is φ = 102386638356480.

The previous prime is 332003201334383. The next prime is 332003201334439. The reversal of 332003201334432 is 234433102300233.

It is a super-2 number, since 2×332003201334432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332003201334393 and 332003201334402.

It is not an unprimeable number, because it can be changed into a prime (332003201334439) 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, 159142819 + ... + 161215517.

It is an arithmetic number, because the mean of its divisors is an integer number (4887939593250).

Almost surely, 2^{332003201334432} is an apocalyptic number.

332003201334432 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 332003201334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469242200952000).

332003201334432 is an abundant number, since it is smaller than the sum of its proper divisors (606481200569568).

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

332003201334432 is a wasteful number, since it uses less digits than its factorization.

332003201334432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074399 (or 2074391 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 332003201334432 its reverse (234433102300233), we get a palindrome (566436303634665).

The spelling of 332003201334432 in words is "three hundred thirty-two trillion, three billion, two hundred one million, three hundred thirty-four thousand, four hundred thirty-two".