332442114432 has 256 divisors, whose sum is σ = 951130252800. Its totient is φ = 102511116288.

The previous prime is 332442114341. The next prime is 332442114439. The reversal of 332442114432 is 234411244233.

It is a super-2 number, since 2×332442114432² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332442114393 and 332442114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332442114439) 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, 93459598 + ... + 93463154.

It is an arithmetic number, because the mean of its divisors is an integer number (3715352550).

Almost surely, 2^332442114432 is an apocalyptic number.

332442114432 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 332442114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475565126400).

332442114432 is an abundant number, since it is smaller than the sum of its proper divisors (618688138368).

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

332442114432 is a wasteful number, since it uses less digits than its factorization.

332442114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3821 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 332442114432 its reverse (234411244233), we get a palindrome (566853358665).

The spelling of 332442114432 in words is "three hundred thirty-two billion, four hundred forty-two million, one hundred fourteen thousand, four hundred thirty-two".