382481752576 has 160 divisors (see below), whose sum is σ = 953517578112. Its totient is φ = 148905000960.

The previous prime is 382481752567. The next prime is 382481752613. The reversal of 382481752576 is 675257184283.

It is a self number, because there is not a number n which added to its sum of digits gives 382481752576.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66899670 + ... + 66905386.

Almost surely, 2^382481752576 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 382481752576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476758789056).

382481752576 is an abundant number, since it is smaller than the sum of its proper divisors (571035825536).

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

382481752576 is a wasteful number, since it uses less digits than its factorization.

382481752576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7434 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 58.

The spelling of 382481752576 in words is "three hundred eighty-two billion, four hundred eighty-one million, seven hundred fifty-two thousand, five hundred seventy-six".