282214920960 has 288 divisors, whose sum is σ = 1144539271680. Its totient is φ = 64506212352.

The previous prime is 282214920959. The next prime is 282214921007. The reversal of 282214920960 is 69029412282.

282214920960 is a `hidden beast` number, since 2 + 82 + 21 + 492 + 0 + 9 + 60 = 666.

282214920960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×282214920960² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341362 + ... + 825201.

Almost surely, 2^282214920960 is an apocalyptic number.

282214920960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

282214920960 is an abundant number, since it is smaller than the sum of its proper divisors (862324350720).

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

282214920960 is a wasteful number, since it uses less digits than its factorization.

282214920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166600 (or 1166580 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 282214920960 in words is "two hundred eighty-two billion, two hundred fourteen million, nine hundred twenty thousand, nine hundred sixty".