382118144 has 18 divisors (see below), whose sum is σ = 762744150. Its totient is φ = 191058944.

The previous prime is 382118141. The next prime is 382118147. The reversal of 382118144 is 441811283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382118141) and next prime (382118147).

It can be written as a sum of positive squares in only one way, i.e., 347449600 + 34668544 = 18640^2 + 5888^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 382118144.

It is not an unprimeable number, because it can be changed into a prime (382118141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 746069 + ... + 746580.

It is an arithmetic number, because the mean of its divisors is an integer number (42374675).

Almost surely, 2^382118144 is an apocalyptic number.

It is an amenable number.

382118144 is a deficient number, since it is larger than the sum of its proper divisors (380626006).

382118144 is an equidigital number, since it uses as much as digits as its factorization.

382118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492665 (or 1492651 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 382118144 is about 19547.8424384892. The cubic root of 382118144 is about 725.6589452617.

The spelling of 382118144 in words is "three hundred eighty-two million, one hundred eighteen thousand, one hundred forty-four".