323417948432384 has 192 divisors, whose sum is σ = 699854381226000. Its totient is φ = 148536029085696.

The previous prime is 323417948432311. The next prime is 323417948432387. The reversal of 323417948432384 is 483234849714323.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 180479664169984 + 142938284262400 = 13434272^2 + 11955680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 323417948432384.

It is not an unprimeable number, because it can be changed into a prime (323417948432387) 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, 4458871382 + ... + 4458943914.

Almost surely, 2^{323417948432384} 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 323417948432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349927190613000).

323417948432384 is an abundant number, since it is smaller than the sum of its proper divisors (376436432793616).

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

323417948432384 is a wasteful number, since it uses less digits than its factorization.

323417948432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73390 (or 73370 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 65.

The spelling of 323417948432384 in words is "three hundred twenty-three trillion, four hundred seventeen billion, nine hundred forty-eight million, four hundred thirty-two thousand, three hundred eighty-four".