226024012469025 has 135 divisors (see below), whose sum is σ = 424141659505641. Its totient is φ = 118992095651520.

The previous prime is 226024012469011. The next prime is 226024012469071. The reversal of 226024012469025 is 520964210420622.

The square root of 226024012469025 is 15034095.

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

226024012469025 is a `hidden beast` number, since 2 + 2 + 60 + 240 + 1 + 246 + 90 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68292919186209 + 157731093282816 = 8263953^2 + 12559104^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 226024012469025 - 2⁵ = 226024012468993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 53446205611 + ... + 53446209839.

Almost surely, 2^{226024012469025} is an apocalyptic number.

226024012469025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

226024012469025 is the 15034095-th square number.

226024012469025 is the 7517048-th centered octagonal number.

It is an amenable number.

226024012469025 is a deficient number, since it is larger than the sum of its proper divisors (198117647036616).

226024012469025 is an frugal number, since it uses more digits than its factorization.

226024012469025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 226024012469025 its reverse (520964210420622), we get a palindrome (746988222889647).

The spelling of 226024012469025 in words is "two hundred twenty-six trillion, twenty-four billion, twelve million, four hundred sixty-nine thousand, twenty-five".