4146605568 has 320 divisors, whose sum is σ = 14244088320. Its totient is φ = 1166524416.

The previous prime is 4146605537. The next prime is 4146605647. The reversal of 4146605568 is 8655066414.

4146605568 is a `hidden beast` number, since 41 + 46 + 6 + 0 + 5 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063771 + ... + 7064357.

It is an arithmetic number, because the mean of its divisors is an integer number (44512776).

Almost surely, 2^4146605568 is an apocalyptic number.

4146605568 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 4146605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122044160).

4146605568 is an abundant number, since it is smaller than the sum of its proper divisors (10097482752).

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

4146605568 is an equidigital number, since it uses as much as digits as its factorization.

4146605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4146605568 is about 64394.1423422969. The cubic root of 4146605568 is about 1606.5623148845.

The spelling of 4146605568 in words is "four billion, one hundred forty-six million, six hundred five thousand, five hundred sixty-eight".