289454164272 has 480 divisors, whose sum is σ = 1042481276928. Its totient is φ = 72871501824.

The previous prime is 289454164271. The next prime is 289454164273. The reversal of 289454164272 is 272461454982.

289454164272 is a `hidden beast` number, since 2 + 8 + 9 + 454 + 164 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (289454164271) and next prime (289454164273).

It is a super-2 number, since 2×289454164272² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (289454164271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294459493 + ... + 294460475.

Almost surely, 2^289454164272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289454164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240638464).

289454164272 is an abundant number, since it is smaller than the sum of its proper divisors (753027112656).

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

289454164272 is a wasteful number, since it uses less digits than its factorization.

289454164272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2008 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 289454164272 in words is "two hundred eighty-nine billion, four hundred fifty-four million, one hundred sixty-four thousand, two hundred seventy-two".