48402384219168 has 768 divisors, whose sum is σ = 159867094302720. Its totient is φ = 12515047243776.

The previous prime is 48402384219089. The next prime is 48402384219179. The reversal of 48402384219168 is 86191248320484.

It is a happy number.

It is a super-2 number, since 2×48402384219168² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5819688546 + ... + 5819696862.

It is an arithmetic number, because the mean of its divisors is an integer number (208160279040).

Almost surely, 2^{48402384219168} is an apocalyptic number.

48402384219168 is a gapful number since it is divisible by the number (48) 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 48402384219168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79933547151360).

48402384219168 is an abundant number, since it is smaller than the sum of its proper divisors (111464710083552).

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

48402384219168 is a wasteful number, since it uses less digits than its factorization.

48402384219168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 48402384219168 in words is "forty-eight trillion, four hundred two billion, three hundred eighty-four million, two hundred nineteen thousand, one hundred sixty-eight".