6551838144 has 224 divisors, whose sum is σ = 20198730240. Its totient is φ = 2078613504.

The previous prime is 6551838133. The next prime is 6551838149. The reversal of 6551838144 is 4418381556.

6551838144 is a `hidden beast` number, since 6 + 551 + 83 + 8 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6551838144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6551838149) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14029399 + ... + 14029865.

Almost surely, 2^6551838144 is an apocalyptic number.

6551838144 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 6551838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099365120).

6551838144 is an abundant number, since it is smaller than the sum of its proper divisors (13646892096).

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

6551838144 is a wasteful number, since it uses less digits than its factorization.

6551838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 848 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 6551838144 is about 80943.4255761393. The cubic root of 6551838144 is about 1871.2036389171.

The spelling of 6551838144 in words is "six billion, five hundred fifty-one million, eight hundred thirty-eight thousand, one hundred forty-four".