324938869849152 has 2016 divisors, whose sum is σ = 1127663612974080. Its totient is φ = 92516772741120.

The previous prime is 324938869849147. The next prime is 324938869849193. The reversal of 324938869849152 is 251948968839423.

324938869849152 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 38 + 8 + 6 + 98 + 491 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 266999892448 + ... + 266999893664.

It is an arithmetic number, because the mean of its divisors is an integer number (559356950880).

Almost surely, 2^{324938869849152} is an apocalyptic number.

324938869849152 is a gapful number since it is divisible by the number (32) 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 324938869849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563831806487040).

324938869849152 is an abundant number, since it is smaller than the sum of its proper divisors (802724743124928).

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

324938869849152 is a wasteful number, since it uses less digits than its factorization.

324938869849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1408 counting only the distinct ones).

The product of its digits is 6449725440, while the sum is 81.

The spelling of 324938869849152 in words is "three hundred twenty-four trillion, nine hundred thirty-eight billion, eight hundred sixty-nine million, eight hundred forty-nine thousand, one hundred fifty-two".