4162866048 has 384 divisors, whose sum is σ = 14168044800. Its totient is φ = 1206627840.

The previous prime is 4162866017. The next prime is 4162866049. The reversal of 4162866048 is 8406682614.

4162866048 is a `hidden beast` number, since 4 + 16 + 28 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4162866048² = 34658907467182276608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4162865994 and 4162866012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162866049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180994165 + ... + 180994187.

It is an arithmetic number, because the mean of its divisors is an integer number (36895950).

Almost surely, 2^4162866048 is an apocalyptic number.

4162866048 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 4162866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084022400).

4162866048 is an abundant number, since it is smaller than the sum of its proper divisors (10005178752).

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

4162866048 is an frugal number, since it uses more digits than its factorization.

4162866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4162866048 is about 64520.2762548333. The cubic root of 4162866048 is about 1608.6595645774.

The spelling of 4162866048 in words is "four billion, one hundred sixty-two million, eight hundred sixty-six thousand, forty-eight".