281472972672 has 128 divisors (see below), whose sum is σ = 772523781120. Its totient is φ = 90710323200.

The previous prime is 281472972637. The next prime is 281472972689. The reversal of 281472972672 is 276279274182.

281472972672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12976428 + ... + 12998100.

It is an arithmetic number, because the mean of its divisors is an integer number (6035342040).

Almost surely, 2^281472972672 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 281472972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386261890560).

281472972672 is an abundant number, since it is smaller than the sum of its proper divisors (491050808448).

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

281472972672 is a wasteful number, since it uses less digits than its factorization.

281472972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22812 (or 22800 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 57.

The spelling of 281472972672 in words is "two hundred eighty-one billion, four hundred seventy-two million, nine hundred seventy-two thousand, six hundred seventy-two".