382334462224 has 405 divisors, whose sum is σ = 941718527589. Its totient is φ = 150180476160.

The previous prime is 382334462221. The next prime is 382334462239. The reversal of 382334462224 is 422264433283.

The square root of 382334462224 is 618332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56558352400 + 325776109824 = 237820^2 + 570768^2 .

It is a Duffinian number.

Its product of digits (1327104) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (382334462221) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8134775769 + ... + 8134775815.

Almost surely, 2^382334462224 is an apocalyptic number.

382334462224 is the 618332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382334462224

382334462224 is an abundant number, since it is smaller than the sum of its proper divisors (559384065365).

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

382334462224 is a wasteful number, since it uses less digits than its factorization.

382334462224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 43.

The spelling of 382334462224 in words is "three hundred eighty-two billion, three hundred thirty-four million, four hundred sixty-two thousand, two hundred twenty-four".