5364594144 has 576 divisors, whose sum is σ = 20179031040. Its totient is φ = 1349913600.

The previous prime is 5364594107. The next prime is 5364594163. The reversal of 5364594144 is 4414954635.

5364594144 is a `hidden beast` number, since 53 + 6 + 4 + 594 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5364594144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75557629 + ... + 75557699.

It is an arithmetic number, because the mean of its divisors is an integer number (35033040).

Almost surely, 2^5364594144 is an apocalyptic number.

5364594144 is a gapful number since it is divisible by the number (54) 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 5364594144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089515520).

5364594144 is an abundant number, since it is smaller than the sum of its proper divisors (14814436896).

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

5364594144 is a wasteful number, since it uses less digits than its factorization.

5364594144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5364594144 is about 73243.3897631725. The cubic root of 5364594144 is about 1750.5678857929.

The spelling of 5364594144 in words is "five billion, three hundred sixty-four million, five hundred ninety-four thousand, one hundred forty-four".