382584974112 has 384 divisors, whose sum is σ = 1251953418240. Its totient is φ = 112658688000.

The previous prime is 382584974069. The next prime is 382584974129. The reversal of 382584974112 is 211479485283.

382584974112 is a `hidden beast` number, since 3 + 8 + 2 + 584 + 9 + 7 + 41 + 12 = 666.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 105597133 + ... + 105600755.

It is an arithmetic number, because the mean of its divisors is an integer number (3260295360).

Almost surely, 2^382584974112 is an apocalyptic number.

382584974112 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 382584974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625976709120).

382584974112 is an abundant number, since it is smaller than the sum of its proper divisors (869368444128).

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

382584974112 is a wasteful number, since it uses less digits than its factorization.

382584974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3951 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 382584974112 in words is "three hundred eighty-two billion, five hundred eighty-four million, nine hundred seventy-four thousand, one hundred twelve".