6144000829 has 2 divisors, whose sum is σ = 6144000830. Its totient is φ = 6144000828.

The previous prime is 6144000827. The next prime is 6144000847. The reversal of 6144000829 is 9280004416.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5771896729 + 372104100 = 75973^2 + 19290^2 .

It is a cyclic number.

It is not a de Polignac number, because 6144000829 - 2¹ = 6144000827 is a prime.

Together with 6144000827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 6144000794 and 6144000803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6144000827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3072000414 + 3072000415.

It is an arithmetic number, because the mean of its divisors is an integer number (3072000415).

Almost surely, 2^6144000829 is an apocalyptic number.

It is an amenable number.

6144000829 is a deficient number, since it is larger than the sum of its proper divisors (1).

6144000829 is an equidigital number, since it uses as much as digits as its factorization.

6144000829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6144000829 is about 78383.6770571527. The cubic root of 6144000829 is about 1831.5428704610.

The spelling of 6144000829 in words is "six billion, one hundred forty-four million, eight hundred twenty-nine", and thus it is an aban number.