281121684480 has 1584 divisors, whose sum is σ = 1256645505024. Its totient is φ = 59003043840.

The previous prime is 281121684469. The next prime is 281121684511. The reversal of 281121684480 is 84486121182.

281121684480 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 2 + 168 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 1471841185 + ... + 1471841375.

Almost surely, 2^281121684480 is an apocalyptic number.

281121684480 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 281121684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628322752512).

281121684480 is an abundant number, since it is smaller than the sum of its proper divisors (975523820544).

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

281121684480 is a wasteful number, since it uses less digits than its factorization.

281121684480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 281121684480 in words is "two hundred eighty-one billion, one hundred twenty-one million, six hundred eighty-four thousand, four hundred eighty".