281421987348096 has 2048 divisors, whose sum is σ = 1073915117568000. Its totient is φ = 71555547267072.

The previous prime is 281421987348059. The next prime is 281421987348101. The reversal of 281421987348096 is 690843789124182.

It is a happy number.

281421987348096 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 2 + 198 + 7 + 348 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68190447985 + ... + 68190452111.

It is an arithmetic number, because the mean of its divisors is an integer number (524372616000).

Almost surely, 2^{281421987348096} 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 281421987348096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536957558784000).

281421987348096 is an abundant number, since it is smaller than the sum of its proper divisors (792493130219904).

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

281421987348096 is an equidigital number, since it uses as much as digits as its factorization.

281421987348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 281421987348096 in words is "two hundred eighty-one trillion, four hundred twenty-one billion, nine hundred eighty-seven million, three hundred forty-eight thousand, ninety-six".