389986511121 has 81 divisors (see below), whose sum is σ = 595026941769. Its totient is φ = 246128600592.

The previous prime is 389986511111. The next prime is 389986511137. The reversal of 389986511121 is 121115689983.

It is a happy number.

The square root of 389986511121 is 624489.

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

389986511121 is a `hidden beast` number, since 38 + 9 + 9 + 86 + 511 + 12 + 1 = 666.

It is not a de Polignac number, because 389986511121 - 2⁷ = 389986510993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (389986511111) 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 80 ways as a sum of consecutive naturals, for example, 3786276756 + ... + 3786276858.

Almost surely, 2^389986511121 is an apocalyptic number.

389986511121 is the 624489-th square number.

389986511121 is the 312245-th centered octagonal number.

It is an amenable number.

389986511121 is a deficient number, since it is larger than the sum of its proper divisors (205040430648).

389986511121 is an equidigital number, since it uses as much as digits as its factorization.

389986511121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The spelling of 389986511121 in words is "three hundred eighty-nine billion, nine hundred eighty-six million, five hundred eleven thousand, one hundred twenty-one".