282116308320 has 1152 divisors, whose sum is σ = 1326930232320. Its totient is φ = 55165501440.

The previous prime is 282116308273. The next prime is 282116308339. The reversal of 282116308320 is 23803611282.

282116308320 is a `hidden beast` number, since 2 + 8 + 2 + 11 + 630 + 8 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×282116308320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 39580597 + ... + 39587723.

It is an arithmetic number, because the mean of its divisors is an integer number (1151849160).

Almost surely, 2^282116308320 is an apocalyptic number.

282116308320 is a gapful number since it is divisible by the number (20) 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 282116308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663465116160).

282116308320 is an abundant number, since it is smaller than the sum of its proper divisors (1044813924000).

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

282116308320 is a wasteful number, since it uses less digits than its factorization.

282116308320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7172 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 282116308320 in words is "two hundred eighty-two billion, one hundred sixteen million, three hundred eight thousand, three hundred twenty".