281282881431552 has 1536 divisors, whose sum is σ = 1105949085696000. Its totient is φ = 61112502190080.

The previous prime is 281282881431547. The next prime is 281282881431553. The reversal of 281282881431552 is 255134188282182.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×281282881431552² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (281282881431553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2687560599 + ... + 2687665257.

It is an arithmetic number, because the mean of its divisors is an integer number (720018936000).

Almost surely, 2^{281282881431552} is an apocalyptic number.

281282881431552 is a gapful number since it is divisible by the number (22) 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 281282881431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552974542848000).

281282881431552 is an abundant number, since it is smaller than the sum of its proper divisors (824666204264448).

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

281282881431552 is a wasteful number, since it uses less digits than its factorization.

281282881431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104757 (or 104737 counting only the distinct ones).

The product of its digits is 19660800, while the sum is 60.

The spelling of 281282881431552 in words is "two hundred eighty-one trillion, two hundred eighty-two billion, eight hundred eighty-one million, four hundred thirty-one thousand, five hundred fifty-two".