4168648648800 has 288 divisors, whose sum is σ = 15963473584800. Its totient is φ = 1046248980480.

The previous prime is 4168648648777. The next prime is 4168648648831. The reversal of 4168648648800 is 88468468614.

4168648648800 is a `hidden beast` number, since 4 + 16 + 8 + 64 + 86 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5309065 + ... + 6043464.

It is an arithmetic number, because the mean of its divisors is an integer number (55428727725).

Almost surely, 2^{4168648648800} is an apocalyptic number.

4168648648800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4168648648800 is an abundant number, since it is smaller than the sum of its proper divisors (11794824936000).

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

4168648648800 is a wasteful number, since it uses less digits than its factorization.

4168648648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352575 (or 11352556 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 4168648648800 in words is "four trillion, one hundred sixty-eight billion, six hundred forty-eight million, six hundred forty-eight thousand, eight hundred".