2144234340144 has 320 divisors, whose sum is σ = 6746868172800. Its totient is φ = 648021427200.

The previous prime is 2144234340137. The next prime is 2144234340167. The reversal of 2144234340144 is 4410434324412.

2144234340144 is a `hidden beast` number, since 2 + 1 + 44 + 234 + 340 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2144234340099 and 2144234340108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107249989 + ... + 107269979.

It is an arithmetic number, because the mean of its divisors is an integer number (21083963040).

Almost surely, 2^{2144234340144} is an apocalyptic number.

2144234340144 is a gapful number since it is divisible by the number (24) 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 2144234340144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373434086400).

2144234340144 is an abundant number, since it is smaller than the sum of its proper divisors (4602633832656).

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

2144234340144 is a wasteful number, since it uses less digits than its factorization.

2144234340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20361 (or 20349 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2144234340144 its reverse (4410434324412), we get a palindrome (6554668664556).

The spelling of 2144234340144 in words is "two trillion, one hundred forty-four billion, two hundred thirty-four million, three hundred forty thousand, one hundred forty-four".