189457361289 has 147 divisors (see below), whose sum is σ = 338599430557. Its totient is φ = 105957916344.

The previous prime is 189457361279. The next prime is 189457361297. The reversal of 189457361289 is 982163754981.

The square root of 189457361289 is 435267.

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

189457361289 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 5 + 7 + 3 + 612 + 8 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (147).

It is not a de Polignac number, because 189457361289 - 2¹⁵ = 189457328521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (189457361279) by changing a digit.

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 146 ways as a sum of consecutive naturals, for example, 4031007664 + ... + 4031007710.

Almost surely, 2^189457361289 is an apocalyptic number.

189457361289 is the 435267-th square number.

189457361289 is the 217634-th centered octagonal number.

It is an amenable number.

189457361289 is a deficient number, since it is larger than the sum of its proper divisors (149142069268).

189457361289 is an frugal number, since it uses more digits than its factorization.

189457361289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 57 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 189457361289 in words is "one hundred eighty-nine billion, four hundred fifty-seven million, three hundred sixty-one thousand, two hundred eighty-nine".