282152230668 has 432 divisors, whose sum is σ = 921866400000. Its totient is φ = 70685084160.

The previous prime is 282152230667. The next prime is 282152230681. The reversal of 282152230668 is 866032251282.

282152230668 is a `hidden beast` number, since 282 + 1 + 5 + 2 + 2 + 306 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (282152230667) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565435083 + ... + 565435581.

It is an arithmetic number, because the mean of its divisors is an integer number (2133950000).

Almost surely, 2^282152230668 is an apocalyptic number.

282152230668 is a gapful number since it is divisible by the number (28) 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 282152230668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460933200000).

282152230668 is an abundant number, since it is smaller than the sum of its proper divisors (639714169332).

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

282152230668 is a wasteful number, since it uses less digits than its factorization.

282152230668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 282152230668 in words is "two hundred eighty-two billion, one hundred fifty-two million, two hundred thirty thousand, six hundred sixty-eight".