48018114144 has 1152 divisors, whose sum is σ = 197251891200. Its totient is φ = 11085465600.

The previous prime is 48018114037. The next prime is 48018114161. The reversal of 48018114144 is 44141181084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48018114099 and 48018114108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 241296957 + ... + 241297155.

It is an arithmetic number, because the mean of its divisors is an integer number (171225600).

Almost surely, 2^48018114144 is an apocalyptic number.

48018114144 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 48018114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98625945600).

48018114144 is an abundant number, since it is smaller than the sum of its proper divisors (149233777056).

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

48018114144 is a wasteful number, since it uses less digits than its factorization.

48018114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 48018114144 in words is "forty-eight billion, eighteen million, one hundred fourteen thousand, one hundred forty-four".