281423020032 has 1152 divisors, whose sum is σ = 1114438927680. Its totient is φ = 68797071360.

The previous prime is 281423020031. The next prime is 281423020037. The reversal of 281423020032 is 230020324182.

281423020032 is a `hidden beast` number, since 2 + 8 + 1 + 423 + 0 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 281423019978 and 281423020005.

It is not an unprimeable number, because it can be changed into a prime (281423020031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16554295288 + ... + 16554295304.

Almost surely, 2^281423020032 is an apocalyptic number.

281423020032 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 281423020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557219463840).

281423020032 is an abundant number, since it is smaller than the sum of its proper divisors (833015907648).

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

281423020032 is an frugal number, since it uses more digits than its factorization.

281423020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 281423020032 in words is "two hundred eighty-one billion, four hundred twenty-three million, twenty thousand, thirty-two".