2338804369225 has 81 divisors (see below), whose sum is σ = 3076771051263. Its totient is φ = 1763532650880.

The previous prime is 2338804369211. The next prime is 2338804369229. The reversal of 2338804369225 is 5229634088332.

The square root of 2338804369225 is 1529315.

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

It can be written as a sum of positive squares in 13 ways, for example, as 911266887609 + 1427537481616 = 954603^2 + 1194796^2 .

It is not a de Polignac number, because 2338804369225 - 2³⁹ = 1789048555337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2338804369229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11752785676 + ... + 11752785874.

Almost surely, 2^{2338804369225} is an apocalyptic number.

2338804369225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2338804369225 is the 1529315-th square number.

2338804369225 is the 764658-th centered octagonal number.

It is an amenable number.

2338804369225 is a deficient number, since it is larger than the sum of its proper divisors (737966682038).

2338804369225 is an frugal number, since it uses more digits than its factorization.

2338804369225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 2338804369225 in words is "two trillion, three hundred thirty-eight billion, eight hundred four million, three hundred sixty-nine thousand, two hundred twenty-five".