6318918144 has 360 divisors, whose sum is σ = 22923220320. Its totient is φ = 1640263680.

The previous prime is 6318918121. The next prime is 6318918157. The reversal of 6318918144 is 4418198136.

6318918144 is a `hidden beast` number, since 631 + 8 + 9 + 1 + 8 + 1 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6318918144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3902167 + ... + 3903785.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 2^6318918144 is an apocalyptic number.

6318918144 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 6318918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461610160).

6318918144 is an abundant number, since it is smaller than the sum of its proper divisors (16604302176).

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

6318918144 is a wasteful number, since it uses less digits than its factorization.

6318918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1642 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 6318918144 is about 79491.6231058342. The cubic root of 6318918144 is about 1848.7615908548.

The spelling of 6318918144 in words is "six billion, three hundred eighteen million, nine hundred eighteen thousand, one hundred forty-four".