201128944733904 has 320 divisors, whose sum is σ = 605271020175360. Its totient is φ = 56875253760000.

The previous prime is 201128944733881. The next prime is 201128944733911. The reversal of 201128944733904 is 409337449821102.

It is a congruent number.

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, 1353335952 + ... + 1353484560.

It is an arithmetic number, because the mean of its divisors is an integer number (1891471938048).

Almost surely, 2^{201128944733904} is an apocalyptic number.

201128944733904 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 201128944733904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302635510087680).

201128944733904 is an abundant number, since it is smaller than the sum of its proper divisors (404142075441456).

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

201128944733904 is a wasteful number, since it uses less digits than its factorization.

201128944733904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149930 (or 149924 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 201128944733904 in words is "two hundred one trillion, one hundred twenty-eight billion, nine hundred forty-four million, seven hundred thirty-three thousand, nine hundred four".