188728385244025 has 27 divisors (see below), whose sum is σ = 257233139714383. Its totient is φ = 137256457936400.

The previous prime is 188728385243987. The next prime is 188728385244079. The reversal of 188728385244025 is 520442583827881.

It is a happy number.

The square root of 188728385244025 is 13737845.

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

188728385244025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 67942218687849 + 120786166556176 = 8242707^2 + 10990276^2 .

It is not a de Polignac number, because 188728385244025 - 2⁹ = 188728385243513 is a prime.

It is a super-2 number, since 2×188728385244025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 755456586 + ... + 755706364.

Almost surely, 2^{188728385244025} is an apocalyptic number.

188728385244025 is the 13737845-th square number.

188728385244025 is the 6868923-rd centered octagonal number.

It is an amenable number.

188728385244025 is a deficient number, since it is larger than the sum of its proper divisors (68504754470358).

188728385244025 is an frugal number, since it uses more digits than its factorization.

188728385244025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499590 (or 249795 counting only the distinct ones).

The product of its (nonzero) digits is 275251200, while the sum is 67.

The spelling of 188728385244025 in words is "one hundred eighty-eight trillion, seven hundred twenty-eight billion, three hundred eighty-five million, two hundred forty-four thousand, twenty-five".