324339831318048 has 768 divisors, whose sum is σ = 1205576030453760. Its totient is φ = 73810737561600.

The previous prime is 324339831318037. The next prime is 324339831318059. The reversal of 324339831318048 is 840813138933423.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (324339831318037) and next prime (324339831318059).

It is a junction number, because it is equal to n+sod(n) for n = 324339831317982 and 324339831318000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85619638 + ... + 89327498.

It is an arithmetic number, because the mean of its divisors is an integer number (1569760456320).

Almost surely, 2^{324339831318048} is an apocalyptic number.

324339831318048 is a gapful number since it is divisible by the number (38) 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 324339831318048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602788015226880).

324339831318048 is an abundant number, since it is smaller than the sum of its proper divisors (881236199135712).

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

324339831318048 is a wasteful number, since it uses less digits than its factorization.

324339831318048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707961 (or 3707953 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 324339831318048 in words is "three hundred twenty-four trillion, three hundred thirty-nine billion, eight hundred thirty-one million, three hundred eighteen thousand, forty-eight".