6321384144 has 30 divisors (see below), whose sum is σ = 17691096306. Its totient is φ = 2107128000.

The previous prime is 6321384143. The next prime is 6321384161. The reversal of 6321384144 is 4414831236.

6321384144 is a `hidden beast` number, since 632 + 1 + 3 + 8 + 4 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4160250000 + 2161134144 = 64500^2 + 46488^2 .

It is a super-2 number, since 2×6321384144² = 79919794992029225472, which contains 22 as substring.

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 = 6321384099 and 6321384108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6321384143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21949107 + ... + 21949394.

Almost surely, 2^6321384144 is an apocalyptic number.

It is an amenable number.

6321384144 is an abundant number, since it is smaller than the sum of its proper divisors (11369712162).

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

6321384144 is a wasteful number, since it uses less digits than its factorization.

6321384144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43898515 (or 43898506 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6321384144 is about 79507.1326611644. The cubic root of 6321384144 is about 1849.0020567617.

The spelling of 6321384144 in words is "six billion, three hundred twenty-one million, three hundred eighty-four thousand, one hundred forty-four".