281480355072 has 360 divisors, whose sum is σ = 965192792256. Its totient is φ = 79922847744.

The previous prime is 281480355071. The next prime is 281480355077. The reversal of 281480355072 is 270553084182.

281480355072 is a `hidden beast` number, since 2 + 8 + 14 + 80 + 3 + 550 + 7 + 2 = 666.

It is a super-2 number, since 2×281480355072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281480355071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23653828 + ... + 23665724.

Almost surely, 2^281480355072 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 281480355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482596396128).

281480355072 is an abundant number, since it is smaller than the sum of its proper divisors (683712437184).

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

281480355072 is a wasteful number, since it uses less digits than its factorization.

281480355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12095 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 281480355072 in words is "two hundred eighty-one billion, four hundred eighty million, three hundred fifty-five thousand, seventy-two".