289390145985 has 64 divisors (see below), whose sum is σ = 554143180800. Its totient is φ = 142817701824.

The previous prime is 289390145939. The next prime is 289390146007. The reversal of 289390145985 is 589541093982.

289390145985 is a `hidden beast` number, since 2 + 8 + 9 + 39 + 0 + 1 + 4 + 598 + 5 = 666.

It is not a de Polignac number, because 289390145985 - 2⁷ = 289390145857 is a prime.

It is a super-2 number, since 2×289390145985² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1201597 + ... + 1422186.

It is an arithmetic number, because the mean of its divisors is an integer number (8658487200).

Almost surely, 2^289390145985 is an apocalyptic number.

It is an amenable number.

289390145985 is a deficient number, since it is larger than the sum of its proper divisors (264753034815).

289390145985 is a wasteful number, since it uses less digits than its factorization.

289390145985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623859 (or 2623853 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

It can be divided in two parts, 2893 and 90145985, that added together give a triangular number (90148878 = T₁₃₄₂₇).

The spelling of 289390145985 in words is "two hundred eighty-nine billion, three hundred ninety million, one hundred forty-five thousand, nine hundred eighty-five".