189668948041225 has 9 divisors (see below), whose sum is σ = 235189580957767. Its totient is φ = 151735103344840.

The previous prime is 189668948041213. The next prime is 189668948041229. The reversal of 189668948041225 is 522140849866981.

The square root of 189668948041225 is 13772035.

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

It can be written as a sum of positive squares in only one way, i.e., 68280821294841 + 121388126746384 = 8263221^2 + 11017628^2 .

It is not a de Polignac number, because 189668948041225 - 2¹⁵ = 189668948008457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189668948041229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67482972 + ... + 70237378.

Almost surely, 2^{189668948041225} is an apocalyptic number.

189668948041225 is the 13772035-th square number.

189668948041225 is the 6886018-th centered octagonal number.

It is an amenable number.

189668948041225 is a deficient number, since it is larger than the sum of its proper divisors (45520632916542).

189668948041225 is an frugal number, since it uses more digits than its factorization.

189668948041225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508824 (or 2754412 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 73.

The spelling of 189668948041225 in words is "one hundred eighty-nine trillion, six hundred sixty-eight billion, nine hundred forty-eight million, forty-one thousand, two hundred twenty-five".