2214144144 has 30 divisors (see below), whose sum is σ = 6196528806. Its totient is φ = 738048000.

The previous prime is 2214144091. The next prime is 2214144161. The reversal of 2214144144 is 4414414122.

It is a happy number.

2214144144 is a `hidden beast` number, since 2 + 214 + 1 + 441 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1809651600 + 404492544 = 42540^2 + 20112^2 .

It is a super-4 number, since 4×2214144144⁴ (a number of 38 digits) contains 4444 as substring.

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7687857 + ... + 7688144.

Almost surely, 2^2214144144 is an apocalyptic number.

2214144144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214144144 is an abundant number, since it is smaller than the sum of its proper divisors (3982384662).

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

2214144144 is a wasteful number, since it uses less digits than its factorization.

2214144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15376015 (or 15376006 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2214144144 is about 47054.6931134398. The cubic root of 2214144144 is about 1303.3727301637.

Adding to 2214144144 its reverse (4414414122), we get a palindrome (6628558266).

It can be divided in two parts, 2214144 and 144, that multiplied together give a square (318836736 = 17856²).

The spelling of 2214144144 in words is "two billion, two hundred fourteen million, one hundred forty-four thousand, one hundred forty-four".