48150344305184 has 192 divisors, whose sum is σ = 104305691008512. Its totient is φ = 21698838528000.

The previous prime is 48150344305183. The next prime is 48150344305187.

It is a happy number.

48150344305184 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48150344305183) 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, 20205766457 + ... + 20205768839.

It is an arithmetic number, because the mean of its divisors is an integer number (543258807336).

Almost surely, 2^{48150344305184} is an apocalyptic number.

48150344305184 is a gapful number since it is divisible by the number (44) 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 48150344305184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52152845504256).

48150344305184 is an abundant number, since it is smaller than the sum of its proper divisors (56155346703328).

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

48150344305184 is a wasteful number, since it uses less digits than its factorization.

48150344305184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 48150344305184 in words is "forty-eight trillion, one hundred fifty billion, three hundred forty-four million, three hundred five thousand, one hundred eighty-four".