281630643168 has 192 divisors, whose sum is σ = 874695628800. Its totient is φ = 77674401792.

The previous prime is 281630643149. The next prime is 281630643169. The reversal of 281630643168 is 861346036182.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281630643169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2244558 + ... + 2366706.

It is an arithmetic number, because the mean of its divisors is an integer number (4555706400).

Almost surely, 2^281630643168 is an apocalyptic number.

281630643168 is a gapful number since it is divisible by the number (28) 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 281630643168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437347814400).

281630643168 is an abundant number, since it is smaller than the sum of its proper divisors (593064985632).

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

281630643168 is a wasteful number, since it uses less digits than its factorization.

281630643168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122289 (or 122281 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 281630643168 in words is "two hundred eighty-one billion, six hundred thirty million, six hundred forty-three thousand, one hundred sixty-eight".