4146976848 has 80 divisors (see below), whose sum is σ = 12332960640. Its totient is φ = 1176188928.

The previous prime is 4146976819. The next prime is 4146976849. The reversal of 4146976848 is 8486796414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146976849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988 + ... + 91076.

It is an arithmetic number, because the mean of its divisors is an integer number (154162008).

Almost surely, 2^4146976848 is an apocalyptic number.

4146976848 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 4146976848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166480320).

4146976848 is an abundant number, since it is smaller than the sum of its proper divisors (8185983792).

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

4146976848 is a wasteful number, since it uses less digits than its factorization.

4146976848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90244 (or 90238 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 4146976848 is about 64397.0251486821. The cubic root of 4146976848 is about 1606.6102630712.

The spelling of 4146976848 in words is "four billion, one hundred forty-six million, nine hundred seventy-six thousand, eight hundred forty-eight".