48123734257200 has 960 divisors, whose sum is σ = 188186076748800. Its totient is φ = 10267405516800.

The previous prime is 48123734257171. The next prime is 48123734257201. The reversal of 48123734257200 is 275243732184.

48123734257200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48123734257200.

It is not an unprimeable number, because it can be changed into a prime (48123734257201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17254833406 + ... + 17254836194.

It is an arithmetic number, because the mean of its divisors is an integer number (196027163280).

Almost surely, 2^{48123734257200} is an apocalyptic number.

48123734257200 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 48123734257200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94093038374400).

48123734257200 is an abundant number, since it is smaller than the sum of its proper divisors (140062342491600).

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

48123734257200 is a wasteful number, since it uses less digits than its factorization.

48123734257200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

Adding to 48123734257200 its reverse (275243732184), we get a palindrome (48398977989384).

The spelling of 48123734257200 in words is "forty-eight trillion, one hundred twenty-three billion, seven hundred thirty-four million, two hundred fifty-seven thousand, two hundred".