890160171289 has 81 divisors (see below), whose sum is σ = 1051547483007. Its totient is φ = 753216444288.

The previous prime is 890160171269. The next prime is 890160171301. The reversal of 890160171289 is 982171061098.

The square root of 890160171289 is 943483.

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., 693031275225 + 197128896064 = 832485^2 + 443992^2 .

It is not a de Polignac number, because 890160171289 - 2²¹ = 890158074137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (890160171269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7009135144 + ... + 7009135270.

Almost surely, 2^890160171289 is an apocalyptic number.

890160171289 is the 943483-rd square number.

890160171289 is the 471742-nd centered octagonal number.

It is an amenable number.

890160171289 is a deficient number, since it is larger than the sum of its proper divisors (161387311718).

890160171289 is a wasteful number, since it uses less digits than its factorization.

890160171289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 890160171289 in words is "eight hundred ninety billion, one hundred sixty million, one hundred seventy-one thousand, two hundred eighty-nine".