1821384144 has 60 divisors (see below), whose sum is σ = 5286147776. Its totient is φ = 607126752.

The previous prime is 1821384139. The next prime is 1821384151. The reversal of 1821384144 is 4414831281.

It is a happy number.

It is a super-2 number, since 2×1821384144² = 6634880400029225472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1821384099 and 1821384108.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 230344 + ... + 238119.

Almost surely, 2^1821384144 is an apocalyptic number.

It is an amenable number.

1821384144 is an abundant number, since it is smaller than the sum of its proper divisors (3464763632).

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

1821384144 is an equidigital number, since it uses as much as digits as its factorization.

1821384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468486 (or 468468 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1821384144 is about 42677.6773501089. The cubic root of 1821384144 is about 1221.2385844587.

The spelling of 1821384144 in words is "one billion, eight hundred twenty-one million, three hundred eighty-four thousand, one hundred forty-four".