324433257609216 has 768 divisors, whose sum is σ = 1042818416640000. Its totient is φ = 89567315066880.

The previous prime is 324433257609211. The next prime is 324433257609217. The reversal of 324433257609216 is 612906752334423.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324433257609211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46971656835 + ... + 46971663741.

It is an arithmetic number, because the mean of its divisors is an integer number (1357836480000).

Almost surely, 2^{324433257609216} 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 324433257609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521409208320000).

324433257609216 is an abundant number, since it is smaller than the sum of its proper divisors (718385159030784).

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

324433257609216 is an equidigital number, since it uses as much as digits as its factorization.

324433257609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 57.

The spelling of 324433257609216 in words is "three hundred twenty-four trillion, four hundred thirty-three billion, two hundred fifty-seven million, six hundred nine thousand, two hundred sixteen".