201343104144 has 240 divisors, whose sum is σ = 696105446400. Its totient is φ = 52903148544.

The previous prime is 201343104113. The next prime is 201343104163. The reversal of 201343104144 is 441401343102.

201343104144 is a `hidden beast` number, since 201 + 3 + 4 + 310 + 4 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3496417 + ... + 3553535.

It is an arithmetic number, because the mean of its divisors is an integer number (2900439360).

Almost surely, 2^201343104144 is an apocalyptic number.

201343104144 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 201343104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348052723200).

201343104144 is an abundant number, since it is smaller than the sum of its proper divisors (494762342256).

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

201343104144 is a wasteful number, since it uses less digits than its factorization.

201343104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57422 (or 57413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 201343104144 its reverse (441401343102), we get a palindrome (642744447246).

The spelling of 201343104144 in words is "two hundred one billion, three hundred forty-three million, one hundred four thousand, one hundred forty-four".