289812134811672 has 192 divisors, whose sum is σ = 884953362908160. Its totient is φ = 84886122182400.

The previous prime is 289812134811587. The next prime is 289812134811679. The reversal of 289812134811672 is 276118431218982.

289812134811672 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 121 + 348 + 1 + 167 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289812134811679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13167858 + ... + 27441150.

It is an arithmetic number, because the mean of its divisors is an integer number (4609132098480).

Almost surely, 2^{289812134811672} is an apocalyptic number.

289812134811672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289812134811672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442476681454080).

289812134811672 is an abundant number, since it is smaller than the sum of its proper divisors (595141228096488).

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

289812134811672 is a wasteful number, since it uses less digits than its factorization.

289812134811672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14274174 (or 14274167 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 289812134811672 in words is "two hundred eighty-nine trillion, eight hundred twelve billion, one hundred thirty-four million, eight hundred eleven thousand, six hundred seventy-two".