201053323416 has 128 divisors (see below), whose sum is σ = 577485676800. Its totient is φ = 57688750080.

The previous prime is 201053323403. The next prime is 201053323417. The reversal of 201053323416 is 614323350102.

201053323416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201053323417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10790140 + ... + 10808756.

It is an arithmetic number, because the mean of its divisors is an integer number (4511606850).

Almost surely, 2^201053323416 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 201053323416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288742838400).

201053323416 is an abundant number, since it is smaller than the sum of its proper divisors (376432353384).

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

201053323416 is a wasteful number, since it uses less digits than its factorization.

201053323416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20809 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 201053323416 its reverse (614323350102), we get a palindrome (815376673518).

The spelling of 201053323416 in words is "two hundred one billion, fifty-three million, three hundred twenty-three thousand, four hundred sixteen".