323138424960 has 768 divisors, whose sum is σ = 1252989803520. Its totient is φ = 76197888000.

The previous prime is 323138424953. The next prime is 323138425031. The reversal of 323138424960 is 69424831323.

323138424960 is a `hidden beast` number, since 3 + 2 + 3 + 138 + 424 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248376310 + ... + 248377610.

It is an arithmetic number, because the mean of its divisors is an integer number (1631497140).

Almost surely, 2^323138424960 is an apocalyptic number.

323138424960 is a gapful number since it is divisible by the number (30) 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 323138424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626494901760).

323138424960 is an abundant number, since it is smaller than the sum of its proper divisors (929851378560).

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

323138424960 is a wasteful number, since it uses less digits than its factorization.

323138424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 323138424960 in words is "three hundred twenty-three billion, one hundred thirty-eight million, four hundred twenty-four thousand, nine hundred sixty".