2144161320336 has 480 divisors, whose sum is σ = 7425882427392. Its totient is φ = 564274529280.

The previous prime is 2144161320331. The next prime is 2144161320401. The reversal of 2144161320336 is 6330231614412.

2144161320336 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 1 + 613 + 2 + 0 + 3 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144161320336.

It is not an unprimeable number, because it can be changed into a prime (2144161320331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70765606 + ... + 70795898.

Almost surely, 2^{2144161320336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144161320336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712941213696).

2144161320336 is an abundant number, since it is smaller than the sum of its proper divisors (5281721107056).

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

2144161320336 is a wasteful number, since it uses less digits than its factorization.

2144161320336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30451 (or 30442 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 2144161320336 its reverse (6330231614412), we get a palindrome (8474392934748).

The spelling of 2144161320336 in words is "two trillion, one hundred forty-four billion, one hundred sixty-one million, three hundred twenty thousand, three hundred thirty-six".