282782168064 has 176 divisors, whose sum is σ = 913598043840. Its totient is φ = 85691473920.

The previous prime is 282782167979. The next prime is 282782168069. The reversal of 282782168064 is 460861287282.

282782168064 is a `hidden beast` number, since 28 + 278 + 216 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 282782168064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282782168069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160779 + ... + 769034.

Almost surely, 2^282782168064 is an apocalyptic number.

282782168064 is a gapful number since it is divisible by the number (24) 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 282782168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456799021920).

282782168064 is an abundant number, since it is smaller than the sum of its proper divisors (630815875776).

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

282782168064 is a wasteful number, since it uses less digits than its factorization.

282782168064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929853 (or 929829 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 282782168064 in words is "two hundred eighty-two billion, seven hundred eighty-two million, one hundred sixty-eight thousand, sixty-four".