6836454144 has 432 divisors, whose sum is σ = 22967773920. Its totient is φ = 1937571840.

The previous prime is 6836454139. The next prime is 6836454169. The reversal of 6836454144 is 4414546386.

6836454144 is a `hidden beast` number, since 6 + 8 + 3 + 64 + 541 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6836454144.

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 47 ways as a sum of consecutive naturals, for example, 23332462 + ... + 23332754.

Almost surely, 2^6836454144 is an apocalyptic number.

6836454144 is a gapful number since it is divisible by the number (64) 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 6836454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483886960).

6836454144 is an abundant number, since it is smaller than the sum of its proper divisors (16131319776).

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

6836454144 is a wasteful number, since it uses less digits than its factorization.

6836454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 6836454144 is about 82682.8527809727. The cubic root of 6836454144 is about 1897.9159183465.

The spelling of 6836454144 in words is "six billion, eight hundred thirty-six million, four hundred fifty-four thousand, one hundred forty-four".