8320449861361 has 45 divisors (see below), whose sum is σ = 9469515866715. Its totient is φ = 7310524953600.

The previous prime is 8320449861359. The next prime is 8320449861389. The reversal of 8320449861361 is 1631689440238.

The square root of 8320449861361 is 2884519.

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

8320449861361 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3255249501361 + 5065200360000 = 1804231^2 + 2250600^2 .

It is not a de Polignac number, because 8320449861361 - 2¹ = 8320449861359 is a prime.

8320449861361 is strictly pandigital in base 12.

It is not an unprimeable number, because it can be changed into a prime (8320449861341) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10819830385 + ... + 10819831153.

It is an arithmetic number, because the mean of its divisors is an integer number (210433685927).

Almost surely, 2^{8320449861361} is an apocalyptic number.

8320449861361 is the 2884519-th square number.

8320449861361 is the 1442260-th centered octagonal number.

It is an amenable number.

8320449861361 is a deficient number, since it is larger than the sum of its proper divisors (1149066005354).

8320449861361 is an frugal number, since it uses more digits than its factorization.

8320449861361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 8320449861361 in words is "eight trillion, three hundred twenty billion, four hundred forty-nine million, eight hundred sixty-one thousand, three hundred sixty-one".