48489361200 has 720 divisors, whose sum is σ = 198608716800. Its totient is φ = 10949783040.

The previous prime is 48489361169. The next prime is 48489361201. The reversal of 48489361200 is 216398484.

It is a happy number.

48489361200 is a `hidden beast` number, since 4 + 8 + 4 + 89 + 361 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48489361201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 132123417 + ... + 132123783.

It is an arithmetic number, because the mean of its divisors is an integer number (275845440).

Almost surely, 2^48489361200 is an apocalyptic number.

48489361200 is a gapful number since it is divisible by the number (40) 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 48489361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99304358400).

48489361200 is an abundant number, since it is smaller than the sum of its proper divisors (150119355600).

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

48489361200 is a wasteful number, since it uses less digits than its factorization.

48489361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48489361200 in words is "forty-eight billion, four hundred eighty-nine million, three hundred sixty-one thousand, two hundred".