366304563361 has 9 divisors (see below), whose sum is σ = 402639606579. Its totient is φ = 332998096200.

The previous prime is 366304563353. The next prime is 366304563397. The reversal of 366304563361 is 163365403663.

The square root of 366304563361 is 605231.

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., 101964623761 + 264339939600 = 319319^2 + 514140^2 .

It is not a de Polignac number, because 366304563361 - 2³ = 366304563353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (366304567361) 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, 6630031 + ... + 6685051.

Almost surely, 2^366304563361 is an apocalyptic number.

366304563361 is the 605231-st square number.

366304563361 is the 302616-th centered octagonal number.

It is an amenable number.

366304563361 is a deficient number, since it is larger than the sum of its proper divisors (36335043218).

366304563361 is an frugal number, since it uses more digits than its factorization.

366304563361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110064 (or 55032 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 46.

The spelling of 366304563361 in words is "three hundred sixty-six billion, three hundred four million, five hundred sixty-three thousand, three hundred sixty-one".