4578999168 has 128 divisors (see below), whose sum is σ = 12390796800. Its totient is φ = 1497968640.

The previous prime is 4578999163. The next prime is 4578999199. The reversal of 4578999168 is 8619998754.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4578999099 and 4578999108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4578999163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623913 + ... + 10624343.

It is an arithmetic number, because the mean of its divisors is an integer number (96803100).

Almost surely, 2^4578999168 is an apocalyptic number.

4578999168 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 4578999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195398400).

4578999168 is an abundant number, since it is smaller than the sum of its proper divisors (7811797632).

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

4578999168 is a wasteful number, since it uses less digits than its factorization.

4578999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The square root of 4578999168 is about 67668.3025352343. The cubic root of 4578999168 is about 1660.5687275645.

The spelling of 4578999168 in words is "four billion, five hundred seventy-eight million, nine hundred ninety-nine thousand, one hundred sixty-eight".