20144344344102 has 576 divisors, whose sum is σ = 52502510249280. Its totient is φ = 5556418560000.

The previous prime is 20144344344077. The next prime is 20144344344193.

20144344344102 is a `hidden beast` number, since 2 + 0 + 144 + 34 + 43 + 441 + 0 + 2 = 666.

20144344344102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53151304149 + ... + 53151304527.

It is an arithmetic number, because the mean of its divisors is an integer number (91150191405).

Almost surely, 2^{20144344344102} is an apocalyptic number.

20144344344102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144344344102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26251255124640).

20144344344102 is an abundant number, since it is smaller than the sum of its proper divisors (32358165905178).

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

20144344344102 is a wasteful number, since it uses less digits than its factorization.

20144344344102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

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

It can be divided in two parts, 2014434 and 4344102, that added together give a palindrome (6358536).

The spelling of 20144344344102 in words is "twenty trillion, one hundred forty-four billion, three hundred forty-four million, three hundred forty-four thousand, one hundred two".