48434115168 has 144 divisors (see below), whose sum is σ = 140177746800. Its totient is φ = 15859031040.

The previous prime is 48434115161. The next prime is 48434115209. The reversal of 48434115168 is 86151143484.

48434115168 is a `hidden beast` number, since 4 + 8 + 434 + 1 + 151 + 68 = 666.

48434115168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48434115161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18778903 + ... + 18781481.

It is an arithmetic number, because the mean of its divisors is an integer number (973456575).

Almost surely, 2^48434115168 is an apocalyptic number.

48434115168 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 48434115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70088873400).

48434115168 is an abundant number, since it is smaller than the sum of its proper divisors (91743631632).

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

48434115168 is a wasteful number, since it uses less digits than its factorization.

48434115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3714 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 48434115168 in words is "forty-eight billion, four hundred thirty-four million, one hundred fifteen thousand, one hundred sixty-eight".