281664793728 has 192 divisors, whose sum is σ = 838890823680. Its totient is φ = 90617978880.

The previous prime is 281664793687. The next prime is 281664793783. The reversal of 281664793728 is 827397466182.

281664793728 is a `hidden beast` number, since 2 + 81 + 66 + 479 + 3 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13667400 + ... + 13687992.

It is an arithmetic number, because the mean of its divisors is an integer number (4369223040).

Almost surely, 2^281664793728 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 281664793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419445411840).

281664793728 is an abundant number, since it is smaller than the sum of its proper divisors (557226029952).

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

281664793728 is a wasteful number, since it uses less digits than its factorization.

281664793728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21027 (or 21012 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 281664793728 in words is "two hundred eighty-one billion, six hundred sixty-four million, seven hundred ninety-three thousand, seven hundred twenty-eight".