5845938336 has 576 divisors, whose sum is σ = 21134131200. Its totient is φ = 1527482880.

The previous prime is 5845938311. The next prime is 5845938347. The reversal of 5845938336 is 6338395485.

It is a happy number.

5845938336 is a `hidden beast` number, since 584 + 59 + 3 + 8 + 3 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70432951 + ... + 70433033.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^5845938336 is an apocalyptic number.

5845938336 is a gapful number since it is divisible by the number (56) 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 5845938336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567065600).

5845938336 is an abundant number, since it is smaller than the sum of its proper divisors (15288192864).

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

5845938336 is a wasteful number, since it uses less digits than its factorization.

5845938336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5845938336 is about 76458.7361653330. The cubic root of 5845938336 is about 1801.4328443032.

The spelling of 5845938336 in words is "five billion, eight hundred forty-five million, nine hundred thirty-eight thousand, three hundred thirty-six".