282980081568672 has 144 divisors (see below), whose sum is σ = 843523015503168. Its totient is φ = 89885902095360.

The previous prime is 282980081568661. The next prime is 282980081568673. The reversal of 282980081568672 is 276865180089282.

It is a happy number.

282980081568672 is a `hidden beast` number, since 282 + 9 + 80 + 0 + 81 + 56 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×282980081568672² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 282980081568672.

It is not an unprimeable number, because it can be changed into a prime (282980081568673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278156388 + ... + 279171875.

It is an arithmetic number, because the mean of its divisors is an integer number (5857798718772).

Almost surely, 2^{282980081568672} is an apocalyptic number.

It is an amenable number.

282980081568672 is an abundant number, since it is smaller than the sum of its proper divisors (560542933934496).

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

282980081568672 is a wasteful number, since it uses less digits than its factorization.

282980081568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557328363 (or 557328352 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 282980081568672 in words is "two hundred eighty-two trillion, nine hundred eighty billion, eighty-one million, five hundred sixty-eight thousand, six hundred seventy-two".