382244873472 has 720 divisors, whose sum is σ = 1448163142272. Its totient is φ = 97389527040.

The previous prime is 382244873449. The next prime is 382244873473. The reversal of 382244873472 is 274378442283.

382244873472 is a `hidden beast` number, since 3 + 82 + 24 + 4 + 8 + 73 + 472 = 666.

It is a super-2 number, since 2×382244873472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382244873473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84621358 + ... + 84625874.

Almost surely, 2^382244873472 is an apocalyptic number.

382244873472 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 382244873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724081571136).

382244873472 is an abundant number, since it is smaller than the sum of its proper divisors (1065918268800).

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

382244873472 is a wasteful number, since it uses less digits than its factorization.

382244873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4593 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 382244873472 in words is "three hundred eighty-two billion, two hundred forty-four million, eight hundred seventy-three thousand, four hundred seventy-two".