189960864025 has 27 divisors (see below), whose sum is σ = 239643974583. Its totient is φ = 149372798400.

The previous prime is 189960864011. The next prime is 189960864043. The reversal of 189960864025 is 520468069981.

The square root of 189960864025 is 435845.

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 148931930889 + 41028933136 = 385917^2 + 202556^2 .

It is not a de Polignac number, because 189960864025 - 2¹¹ = 189960861977 is a prime.

It is a super-2 number, since 2×189960864025² (a number of 23 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, 132932011 + ... + 132933439.

Almost surely, 2^189960864025 is an apocalyptic number.

189960864025 is the 435845-th square number.

189960864025 is the 217923-rd centered octagonal number.

It is an amenable number.

189960864025 is a deficient number, since it is larger than the sum of its proper divisors (49683110558).

189960864025 is an frugal number, since it uses more digits than its factorization.

189960864025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 189960864025 in words is "one hundred eighty-nine billion, nine hundred sixty million, eight hundred sixty-four thousand, twenty-five".