526144228164 has 81 divisors (see below), whose sum is σ = 1356137574519. Its totient is φ = 171996888960.

The previous prime is 526144228117. The next prime is 526144228283. The reversal of 526144228164 is 461822441625.

The square root of 526144228164 is 725358.

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

526144228164 is a `hidden beast` number, since 5 + 2 + 61 + 4 + 422 + 8 + 164 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55559204100 + 470585024064 = 235710^2 + 685992^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 230662704 + ... + 230664984.

Almost surely, 2^526144228164 is an apocalyptic number.

526144228164 is the 725358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526144228164

526144228164 is an abundant number, since it is smaller than the sum of its proper divisors (829993346355).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

526144228164 is an equidigital number, since it uses as much as digits as its factorization.

526144228164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 2339 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

Adding to 526144228164 its reverse (461822441625), we get a palindrome (987966669789).

The spelling of 526144228164 in words is "five hundred twenty-six billion, one hundred forty-four million, two hundred twenty-eight thousand, one hundred sixty-four".