332013013032224 has 96 divisors (see below), whose sum is σ = 668503614240000. Its totient is φ = 162266433635584.

The previous prime is 332013013032161. The next prime is 332013013032229. The reversal of 332013013032224 is 422230310310233.

It is a happy number.

It is a super-2 number, since 2×332013013032224² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332013013032229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4359204767 + ... + 4359280929.

It is an arithmetic number, because the mean of its divisors is an integer number (6963579315000).

Almost surely, 2^{332013013032224} 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 332013013032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334251807120000).

332013013032224 is an abundant number, since it is smaller than the sum of its proper divisors (336490601207776).

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

332013013032224 is a wasteful number, since it uses less digits than its factorization.

332013013032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89310 (or 89302 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 332013013032224 its reverse (422230310310233), we get a palindrome (754243323342457).

The spelling of 332013013032224 in words is "three hundred thirty-two trillion, thirteen billion, thirteen million, thirty-two thousand, two hundred twenty-four".