281440664448 has 128 divisors (see below), whose sum is σ = 767686533120. Its totient is φ = 91317897216.

The previous prime is 281440664399. The next prime is 281440664497. The reversal of 281440664448 is 844466044182.

It is an interprime number because it is at equal distance from previous prime (281440664399) and next prime (281440664497).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×281440664448² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 281440664448.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2530261 + ... + 2639147.

It is an arithmetic number, because the mean of its divisors is an integer number (5997551040).

Almost surely, 2^281440664448 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 281440664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383843266560).

281440664448 is an abundant number, since it is smaller than the sum of its proper divisors (486245868672).

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

281440664448 is a wasteful number, since it uses less digits than its factorization.

281440664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109084 (or 109072 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 51.

The spelling of 281440664448 in words is "two hundred eighty-one billion, four hundred forty million, six hundred sixty-four thousand, four hundred forty-eight".