5144746492800 has 960 divisors, whose sum is σ = 20083238102400. Its totient is φ = 1293304320000.

The previous prime is 5144746492777. The next prime is 5144746492801. The reversal of 5144746492800 is 82946474415.

5144746492800 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 74 + 6 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144746492801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1039130325 + ... + 1039135275.

It is an arithmetic number, because the mean of its divisors is an integer number (20920039690).

Almost surely, 2^{5144746492800} is an apocalyptic number.

5144746492800 is a gapful number since it is divisible by the number (50) 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 5144746492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041619051200).

5144746492800 is an abundant number, since it is smaller than the sum of its proper divisors (14938491609600).

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

5144746492800 is a wasteful number, since it uses less digits than its factorization.

5144746492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5144746492800 in words is "five trillion, one hundred forty-four billion, seven hundred forty-six million, four hundred ninety-two thousand, eight hundred".