16282863072 has 288 divisors, whose sum is σ = 54344908800. Its totient is φ = 4622526720.

The previous prime is 16282863071. The next prime is 16282863083. The reversal of 16282863072 is 27036828261.

16282863072 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 2 + 8 + 630 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16282863071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18867313 + ... + 18868175.

It is an arithmetic number, because the mean of its divisors is an integer number (188697600).

Almost surely, 2^16282863072 is an apocalyptic number.

16282863072 is a gapful number since it is divisible by the number (12) 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 16282863072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172454400).

16282863072 is an abundant number, since it is smaller than the sum of its proper divisors (38062045728).

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

16282863072 is a wasteful number, since it uses less digits than its factorization.

16282863072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16282863072 in words is "sixteen billion, two hundred eighty-two million, eight hundred sixty-three thousand, seventy-two".