853418240702329 has 9 divisors (see below), whose sum is σ = 853740965409199. Its totient is φ = 853095637976440.

The previous prime is 853418240702309. The next prime is 853418240702333. The reversal of 853418240702329 is 923207042814358.

The square root of 853418240702329 is 29213323.

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., 20654161749225 + 832764078953104 = 4544685^2 + 28857652^2 .

It is not a de Polignac number, because 853418240702329 - 2¹⁷ = 853418240571257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (853418240702309) 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, 128275697967 + ... + 128275704619.

Almost surely, 2^{853418240702329} is an apocalyptic number.

853418240702329 is the 29213323-rd square number.

853418240702329 is the 14606662-nd centered octagonal number.

It is an amenable number.

853418240702329 is a deficient number, since it is larger than the sum of its proper divisors (322724706870).

853418240702329 is an frugal number, since it uses more digits than its factorization.

853418240702329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22088 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 853418240702329 in words is "eight hundred fifty-three trillion, four hundred eighteen billion, two hundred forty million, seven hundred two thousand, three hundred twenty-nine".