84355383584 has 48 divisors (see below), whose sum is σ = 170673536376. Its totient is φ = 41011200000.

The previous prime is 84355383559. The next prime is 84355383641. The reversal of 84355383584 is 48538355348.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78904810000 + 5450573584 = 280900^2 + 73828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1873334 + ... + 1917834.

Almost surely, 2^84355383584 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 84355383584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85336768188).

84355383584 is an abundant number, since it is smaller than the sum of its proper divisors (86318152792).

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

84355383584 is a wasteful number, since it uses less digits than its factorization.

84355383584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46149 (or 46141 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 56.

The spelling of 84355383584 in words is "eighty-four billion, three hundred fifty-five million, three hundred eighty-three thousand, five hundred eighty-four".