362424468289 has 9 divisors (see below), whose sum is σ = 392456271753. Its totient is φ = 334538438832.

The previous prime is 362424468281. The next prime is 362424468359. The reversal of 362424468289 is 982864424263.

The square root of 362424468289 is 602017.

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

It can be written as a sum of positive squares in 4 ways, for example, as 752130625 + 361672337664 = 27425^2 + 601392^2 .

It is not a de Polignac number, because 362424468289 - 2³ = 362424468281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (362424468281) 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, 7803067 + ... + 7849375.

It is an arithmetic number, because the mean of its divisors is an integer number (43606252417).

Almost surely, 2^362424468289 is an apocalyptic number.

362424468289 is the 602017-th square number.

362424468289 is the 301009-th centered octagonal number.

It is an amenable number.

362424468289 is a deficient number, since it is larger than the sum of its proper divisors (30031803464).

362424468289 is an frugal number, since it uses more digits than its factorization.

362424468289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92644 (or 46322 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 58.

The spelling of 362424468289 in words is "three hundred sixty-two billion, four hundred twenty-four million, four hundred sixty-eight thousand, two hundred eighty-nine".