5284013461344 has 192 divisors, whose sum is σ = 15947603481600. Its totient is φ = 1700126378496.

The previous prime is 5284013461343. The next prime is 5284013461361. The reversal of 5284013461344 is 4431643104825.

5284013461344 is a `hidden beast` number, since 5 + 28 + 4 + 0 + 1 + 3 + 4 + 613 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5284013461344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5284013461343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95761507 + ... + 95816669.

It is an arithmetic number, because the mean of its divisors is an integer number (83060434800).

Almost surely, 2^{5284013461344} is an apocalyptic number.

5284013461344 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 5284013461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973801740800).

5284013461344 is an abundant number, since it is smaller than the sum of its proper divisors (10663590020256).

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

5284013461344 is a wasteful number, since it uses less digits than its factorization.

5284013461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59034 (or 59020 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 5284013461344 in words is "five trillion, two hundred eighty-four billion, thirteen million, four hundred sixty-one thousand, three hundred forty-four".