84284089344 has 660 divisors, whose sum is σ = 306795983676. Its totient is φ = 22152904704.

The previous prime is 84284089339. The next prime is 84284089411. The reversal of 84284089344 is 44398048248.

It can be written as a sum of positive squares in 2 ways, for example, as 48879903744 + 35404185600 = 221088^2 + 188160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 287658862 + ... + 287659154.

Almost surely, 2^84284089344 is an apocalyptic number.

84284089344 is a gapful number since it is divisible by the number (84) 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 84284089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153397991838).

84284089344 is an abundant number, since it is smaller than the sum of its proper divisors (222511894332).

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

84284089344 is a wasteful number, since it uses less digits than its factorization.

84284089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 84284089344 in words is "eighty-four billion, two hundred eighty-four million, eighty-nine thousand, three hundred forty-four".