48648033907200 has 3840 divisors, whose sum is σ = 225778699238400. Its totient is φ = 10173366927360.

The previous prime is 48648033907189. The next prime is 48648033907201. The reversal of 48648033907200 is 270933084684.

48648033907200 is a `hidden beast` number, since 4 + 8 + 6 + 48 + 0 + 3 + 390 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is not an unprimeable number, because it can be changed into a prime (48648033907201) 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 383 ways as a sum of consecutive naturals, for example, 430513574344 + ... + 430513574456.

It is an arithmetic number, because the mean of its divisors is an integer number (58796536260).

Almost surely, 2^{48648033907200} is an apocalyptic number.

48648033907200 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 48648033907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112889349619200).

48648033907200 is an abundant number, since it is smaller than the sum of its proper divisors (177130665331200).

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

48648033907200 is an frugal number, since it uses more digits than its factorization.

48648033907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 48648033907200 in words is "forty-eight trillion, six hundred forty-eight billion, thirty-three million, nine hundred seven thousand, two hundred".