1218841344 has 288 divisors, whose sum is σ = 4183495680. Its totient is φ = 347120640.

The previous prime is 1218841343. The next prime is 1218841363. The reversal of 1218841344 is 4431488121.

It is a happy number.

1218841344 is a `hidden beast` number, since 121 + 88 + 413 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1218841299 and 1218841308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218841343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3918949 + ... + 3919259.

Almost surely, 2^1218841344 is an apocalyptic number.

1218841344 is a gapful number since it is divisible by the number (14) 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 1218841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091747840).

1218841344 is an abundant number, since it is smaller than the sum of its proper divisors (2964654336).

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

1218841344 is an frugal number, since it uses more digits than its factorization.

1218841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1218841344 is about 34911.9083408513. The cubic root of 1218841344 is about 1068.1913556884.

The spelling of 1218841344 in words is "one billion, two hundred eighteen million, eight hundred forty-one thousand, three hundred forty-four".