4146311808 has 128 divisors (see below), whose sum is σ = 12522417600. Its totient is φ = 1349913600.

The previous prime is 4146311791. The next prime is 4146311839. The reversal of 4146311808 is 8081136414.

It is a happy number.

4146311808 is a `hidden beast` number, since 4 + 1 + 4 + 631 + 18 + 0 + 8 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134658 + ... + 162558.

Almost surely, 2^4146311808 is an apocalyptic number.

4146311808 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 4146311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261208800).

4146311808 is an abundant number, since it is smaller than the sum of its proper divisors (8376105792).

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

4146311808 is a wasteful number, since it uses less digits than its factorization.

4146311808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27967 (or 27949 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4146311808 is about 64391.8613490867. The cubic root of 4146311808 is about 1606.5243758294.

The spelling of 4146311808 in words is "four billion, one hundred forty-six million, three hundred eleven thousand, eight hundred eight".