1218515144 has 192 divisors, whose sum is σ = 3102624000. Its totient is φ = 442350720.

The previous prime is 1218515143. The next prime is 1218515147. The reversal of 1218515144 is 4415158121.

It is a self number, because there is not a number n which added to its sum of digits gives 1218515144.

It is not an unprimeable number, because it can be changed into a prime (1218515143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8766227 + ... + 8766365.

It is an arithmetic number, because the mean of its divisors is an integer number (16159500).

Almost surely, 2^1218515144 is an apocalyptic number.

1218515144 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 1218515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312000).

1218515144 is an abundant number, since it is smaller than the sum of its proper divisors (1884108856).

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

1218515144 is a wasteful number, since it uses less digits than its factorization.

1218515144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its digits is 6400, while the sum is 32.

The square root of 1218515144 is about 34907.2362698624. The cubic root of 1218515144 is about 1068.0960533995.

The spelling of 1218515144 in words is "one billion, two hundred eighteen million, five hundred fifteen thousand, one hundred forty-four".