4146802848 has 144 divisors (see below), whose sum is σ = 12342710016. Its totient is φ = 1318141440.

The previous prime is 4146802841. The next prime is 4146802883. The reversal of 4146802848 is 8482086414.

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

It is a super-2 number, since 2×4146802848² = 34391947720361822208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4146802841) 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, 2787961 + ... + 2789447.

It is an arithmetic number, because the mean of its divisors is an integer number (85713264).

Almost surely, 2^4146802848 is an apocalyptic number.

4146802848 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 4146802848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171355008).

4146802848 is an abundant number, since it is smaller than the sum of its proper divisors (8195907168).

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

4146802848 is a wasteful number, since it uses less digits than its factorization.

4146802848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4146802848 is about 64395.6741404265. The cubic root of 4146802848 is about 1606.5877925579.

The spelling of 4146802848 in words is "four billion, one hundred forty-six million, eight hundred two thousand, eight hundred forty-eight".