214151445225 has 27 divisors (see below), whose sum is σ = 383581466359. Its totient is φ = 114210402000.

The previous prime is 214151445191. The next prime is 214151445227. The reversal of 214151445225 is 522544151412.

The square root of 214151445225 is 462765.

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

214151445225 is a `hidden beast` number, since 2 + 1 + 41 + 51 + 44 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77094520281 + 137056924944 = 277659^2 + 370212^2 .

It is not a de Polignac number, because 214151445225 - 2¹⁹ = 214150920937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214151445225.

It is not an unprimeable number, because it can be changed into a prime (214151445227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6926050 + ... + 6956900.

Almost surely, 2^214151445225 is an apocalyptic number.

214151445225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214151445225 is the 462765-th square number.

214151445225 is the 231383-rd centered octagonal number.

It is an amenable number.

214151445225 is a deficient number, since it is larger than the sum of its proper divisors (169430021134).

214151445225 is an frugal number, since it uses more digits than its factorization.

214151445225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61718 (or 30859 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

Multiplying 214151445225 by its sum of digits (36), we get a square (7709452028100 = 2776590²).

Adding to 214151445225 its reverse (522544151412), we get a palindrome (736695596637).

The spelling of 214151445225 in words is "two hundred fourteen billion, one hundred fifty-one million, four hundred forty-five thousand, two hundred twenty-five".