282466008801 has 12 divisors (see below), whose sum is σ = 408074752020. Its totient is φ = 188279151840.

The previous prime is 282466008751. The next prime is 282466008823. The reversal of 282466008801 is 108800664282.

It can be written as a sum of positive squares in 2 ways, for example, as 144510221025 + 137955787776 = 380145^2 + 371424^2 .

It is a de Polignac number, because none of the positive numbers 2^k-282466008801 is a prime.

It is a super-2 number, since 2×282466008801² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (282466008841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2569906 + ... + 2677563.

It is an arithmetic number, because the mean of its divisors is an integer number (34006229335).

Almost surely, 2^282466008801 is an apocalyptic number.

It is an amenable number.

282466008801 is a deficient number, since it is larger than the sum of its proper divisors (125608743219).

282466008801 is a wasteful number, since it uses less digits than its factorization.

282466008801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253456 (or 5253453 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 282466008801 in words is "two hundred eighty-two billion, four hundred sixty-six million, eight thousand, eight hundred one".