332544316536320 has 320 divisors, whose sum is σ = 968502956129280. Its totient is φ = 106965699821568.

The previous prime is 332544316536293. The next prime is 332544316536329. The reversal of 332544316536320 is 23635613445233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×332544316536320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332544316536329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30328214 + ... + 39810666.

It is an arithmetic number, because the mean of its divisors is an integer number (3026571737904).

Almost surely, 2^{332544316536320} 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 332544316536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484251478064640).

332544316536320 is an abundant number, since it is smaller than the sum of its proper divisors (635958639592960).

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

332544316536320 is a wasteful number, since it uses less digits than its factorization.

332544316536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482605 (or 9482589 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 50.

The spelling of 332544316536320 in words is "three hundred thirty-two trillion, five hundred forty-four billion, three hundred sixteen million, five hundred thirty-six thousand, three hundred twenty".