4456688688 has 50 divisors (see below), whose sum is σ = 12898953804. Its totient is φ = 1485562464.

The previous prime is 4456688683. The next prime is 4456688693. The reversal of 4456688688 is 8868866544.

4456688688 is a `hidden beast` number, since 4 + 4 + 566 + 8 + 8 + 68 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4456688683) and next prime (4456688693).

It is a super-2 number, since 2×4456688688² = 39724148123494322688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4456688683) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1718106 + ... + 1720697.

Almost surely, 2^4456688688 is an apocalyptic number.

4456688688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4456688688 is an abundant number, since it is smaller than the sum of its proper divisors (8442265116).

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

4456688688 is a wasteful number, since it uses less digits than its factorization.

4456688688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438823 (or 3438808 counting only the distinct ones).

The product of its digits is 70778880, while the sum is 63.

The square root of 4456688688 is about 66758.4353321736. The cubic root of 4456688688 is about 1645.6498435518.

The spelling of 4456688688 in words is "four billion, four hundred fifty-six million, six hundred eighty-eight thousand, six hundred eighty-eight".