289336842648 has 288 divisors, whose sum is σ = 913741920000. Its totient is φ = 81019930752.

The previous prime is 289336842637. The next prime is 289336842649. The reversal of 289336842648 is 846248633982.

289336842648 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 368 + 4 + 264 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289336842649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579833103 + ... + 579833601.

It is an arithmetic number, because the mean of its divisors is an integer number (3172715000).

Almost surely, 2^289336842648 is an apocalyptic number.

289336842648 is a gapful number since it is divisible by the number (28) 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 289336842648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456870960000).

289336842648 is an abundant number, since it is smaller than the sum of its proper divisors (624405077352).

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

289336842648 is a wasteful number, since it uses less digits than its factorization.

289336842648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 761 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 289336842648 in words is "two hundred eighty-nine billion, three hundred thirty-six million, eight hundred forty-two thousand, six hundred forty-eight".