281880804421008 has 480 divisors, whose sum is σ = 899123218680960. Its totient is φ = 81722649600000.

The previous prime is 281880804420959. The next prime is 281880804421031. The reversal of 281880804421008 is 800124408088182.

It is a happy number.

281880804421008 is a `hidden beast` number, since 2 + 8 + 18 + 8 + 0 + 80 + 442 + 100 + 8 = 666.

It is a super-2 number, since 2×281880804421008² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7516602258 + ... + 7516639758.

It is an arithmetic number, because the mean of its divisors is an integer number (1873173372252).

Almost surely, 2^{281880804421008} 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 281880804421008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449561609340480).

281880804421008 is an abundant number, since it is smaller than the sum of its proper divisors (617242414259952).

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

281880804421008 is a wasteful number, since it uses less digits than its factorization.

281880804421008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38687 (or 38678 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 54.

The spelling of 281880804421008 in words is "two hundred eighty-one trillion, eight hundred eighty billion, eight hundred four million, four hundred twenty-one thousand, eight".