281450856960 has 1440 divisors, whose sum is σ = 1238872707072. Its totient is φ = 58525286400.

The previous prime is 281450856901. The next prime is 281450856961. The reversal of 281450856960 is 69658054182.

281450856960 is a `hidden beast` number, since 2 + 8 + 14 + 5 + 0 + 8 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 281450856897 and 281450856906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281450856961) 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 143 ways as a sum of consecutive naturals, for example, 1863912885 + ... + 1863913035.

Almost surely, 2^281450856960 is an apocalyptic number.

281450856960 is a gapful number since it is divisible by the number (20) 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 281450856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619436353536).

281450856960 is an abundant number, since it is smaller than the sum of its proper divisors (957421850112).

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

281450856960 is a wasteful number, since it uses less digits than its factorization.

281450856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 281450856960 in words is "two hundred eighty-one billion, four hundred fifty million, eight hundred fifty-six thousand, nine hundred sixty".