382045295068441 has 9 divisors (see below), whose sum is σ = 383978677370463. Its totient is φ = 380121599361240.

The previous prime is 382045295068439. The next prime is 382045295068447. The reversal of 382045295068441 is 144860592540283.

The square root of 382045295068441 is 19545979.

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., 28398464818441 + 353646830250000 = 5329021^2 + 18805500^2 .

It is not a de Polignac number, because 382045295068441 - 2¹ = 382045295068439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382045295068441.

It is not an unprimeable number, because it can be changed into a prime (382045295068447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3889600711 + ... + 3889698931.

It is an arithmetic number, because the mean of its divisors is an integer number (42664297485607).

Almost surely, 2^{382045295068441} is an apocalyptic number.

382045295068441 is the 19545979-th square number.

382045295068441 is the 9772990-th centered octagonal number.

It is an amenable number.

382045295068441 is a deficient number, since it is larger than the sum of its proper divisors (1933382302022).

382045295068441 is an frugal number, since it uses more digits than its factorization.

382045295068441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196840 (or 98420 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 61.

The spelling of 382045295068441 in words is "three hundred eighty-two trillion, forty-five billion, two hundred ninety-five million, sixty-eight thousand, four hundred forty-one".