1214287218144 has 1440 divisors, whose sum is σ = 4964714270208. Its totient is φ = 281167718400.

The previous prime is 1214287218103. The next prime is 1214287218161. The reversal of 1214287218144 is 4418127824121.

1214287218144 is a `hidden beast` number, since 1 + 2 + 1 + 428 + 7 + 2 + 181 + 44 = 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 1214287218144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2493402669 + ... + 2493403155.

Almost surely, 2^{1214287218144} is an apocalyptic number.

1214287218144 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 1214287218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482357135104).

1214287218144 is an abundant number, since it is smaller than the sum of its proper divisors (3750427052064).

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

1214287218144 is a wasteful number, since it uses less digits than its factorization.

1214287218144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 554 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 1214287218144 in words is "one trillion, two hundred fourteen billion, two hundred eighty-seven million, two hundred eighteen thousand, one hundred forty-four".