281972144016 has 30 divisors (see below), whose sum is σ = 789130375670. Its totient is φ = 93990714624.

The previous prime is 281972143949. The next prime is 281972144033. The reversal of 281972144016 is 610441279182.

281972144016 is a `hidden beast` number, since 2 + 8 + 197 + 2 + 1 + 440 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 168753353616 + 113218790400 = 410796^2 + 336480^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 979069801 + ... + 979070088.

Almost surely, 2^281972144016 is an apocalyptic number.

It is an amenable number.

281972144016 is an abundant number, since it is smaller than the sum of its proper divisors (507158231654).

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

281972144016 is a wasteful number, since it uses less digits than its factorization.

281972144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958139903 (or 1958139894 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 281972144016 in words is "two hundred eighty-one billion, nine hundred seventy-two million, one hundred forty-four thousand, sixteen".