889461585164988 has 144 divisors (see below), whose sum is σ = 2453814636489216. Its totient is φ = 269417684062080.

The previous prime is 889461585164923. The next prime is 889461585165061.

It is a happy number.

889461585164988 is a `hidden beast` number, since 8 + 8 + 9 + 4 + 6 + 1 + 5 + 8 + 516 + 4 + 9 + 88 = 666.

889461585164988 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×889461585164988² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 889461585164898 and 889461585164907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17113890570 + ... + 17113942542.

It is an arithmetic number, because the mean of its divisors is an integer number (17040379420064).

Almost surely, 2^{889461585164988} is an apocalyptic number.

It is an amenable number.

889461585164988 is an abundant number, since it is smaller than the sum of its proper divisors (1564353051324228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

889461585164988 is a wasteful number, since it uses less digits than its factorization.

889461585164988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69784 (or 69779 counting only the distinct ones).

The product of its digits is 38220595200, while the sum is 90.

The spelling of 889461585164988 in words is "eight hundred eighty-nine trillion, four hundred sixty-one billion, five hundred eighty-five million, one hundred sixty-four thousand, nine hundred eighty-eight".