281182428289152 has 768 divisors, whose sum is σ = 919085343321600. Its totient is φ = 81926676578304.

The previous prime is 281182428289151. The next prime is 281182428289171. The reversal of 281182428289152 is 251982824281182.

281182428289152 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 82 + 428 + 2 + 89 + 1 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 281182428289152.

It is not an unprimeable number, because it can be changed into a prime (281182428289151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4661714098 + ... + 4661774414.

It is an arithmetic number, because the mean of its divisors is an integer number (1196725707450).

Almost surely, 2^{281182428289152} 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 281182428289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459542671660800).

281182428289152 is an abundant number, since it is smaller than the sum of its proper divisors (637902915032448).

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

281182428289152 is a wasteful number, since it uses less digits than its factorization.

281182428289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60613 (or 60598 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 63.

The spelling of 281182428289152 in words is "two hundred eighty-one trillion, one hundred eighty-two billion, four hundred twenty-eight million, two hundred eighty-nine thousand, one hundred fifty-two".