280630814112 has 960 divisors, whose sum is σ = 1003220951040. Its totient is φ = 75955968000.

The previous prime is 280630814081. The next prime is 280630814137. The reversal of 280630814112 is 211418036082.

280630814112 is a `hidden beast` number, since 2 + 8 + 0 + 630 + 8 + 1 + 4 + 1 + 12 = 666.

280630814112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1258434033 + ... + 1258434255.

It is an arithmetic number, because the mean of its divisors is an integer number (1045021824).

Almost surely, 2^280630814112 is an apocalyptic number.

280630814112 is a gapful number since it is divisible by the number (22) 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 280630814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501610475520).

280630814112 is an abundant number, since it is smaller than the sum of its proper divisors (722590136928).

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

280630814112 is a wasteful number, since it uses less digits than its factorization.

280630814112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 280630814112 in words is "two hundred eighty billion, six hundred thirty million, eight hundred fourteen thousand, one hundred twelve".