281855646072 has 1152 divisors, whose sum is σ = 1105013145600. Its totient is φ = 62836300800.

The previous prime is 281855646047. The next prime is 281855646077. The reversal of 281855646072 is 270646558182.

281855646072 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 5 + 564 + 6 + 0 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281855646077) 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 287 ways as a sum of consecutive naturals, for example, 1263926553 + ... + 1263926775.

It is an arithmetic number, because the mean of its divisors is an integer number (959212800).

Almost surely, 2^281855646072 is an apocalyptic number.

281855646072 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 281855646072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552506572800).

281855646072 is an abundant number, since it is smaller than the sum of its proper divisors (823157499528).

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

281855646072 is a wasteful number, since it uses less digits than its factorization.

281855646072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 281855646072 in words is "two hundred eighty-one billion, eight hundred fifty-five million, six hundred forty-six thousand, seventy-two".