289231338816 has 336 divisors, whose sum is σ = 1007786940480. Its totient is φ = 81077068800.

The previous prime is 289231338791. The next prime is 289231338821. The reversal of 289231338816 is 618833132982.

289231338816 is a `hidden beast` number, since 28 + 9 + 231 + 3 + 388 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4455391 + ... + 4519841.

Almost surely, 2^289231338816 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 289231338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503893470240).

289231338816 is an abundant number, since it is smaller than the sum of its proper divisors (718555601664).

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

289231338816 is a wasteful number, since it uses less digits than its factorization.

289231338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64539 (or 64516 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 289231338816 in words is "two hundred eighty-nine billion, two hundred thirty-one million, three hundred thirty-eight thousand, eight hundred sixteen".