282638334046201 has 45 divisors (see below), whose sum is σ = 341515864054703. Its totient is φ = 233887816060080.

The previous prime is 282638334046199. The next prime is 282638334046219. The reversal of 282638334046201 is 102640433836282.

The square root of 282638334046201 is 16811851.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 148208686461801 + 134429647584400 = 12174099^2 + 11594380^2 .

It is not a de Polignac number, because 282638334046201 - 2¹ = 282638334046199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (282638334046301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23889634356 + ... + 23889646186.

Almost surely, 2^{282638334046201} is an apocalyptic number.

282638334046201 is the 16811851-st square number.

282638334046201 is the 8405926-th centered octagonal number.

It is an amenable number.

282638334046201 is a deficient number, since it is larger than the sum of its proper divisors (58877530008502).

282638334046201 is an frugal number, since it uses more digits than its factorization.

282638334046201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23748 (or 11867 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 282638334046201 in words is "two hundred eighty-two trillion, six hundred thirty-eight billion, three hundred thirty-four million, forty-six thousand, two hundred one".