4561648460800 has 264 divisors, whose sum is σ = 11985806894976. Its totient is φ = 1715418562560.

The previous prime is 4561648460797. The next prime is 4561648460827. The reversal of 4561648460800 is 80648461654.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427796269 + ... + 427806931.

Almost surely, 2^{4561648460800} is an apocalyptic number.

4561648460800 is a gapful number since it is divisible by the number (40) 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 4561648460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992903447488).

4561648460800 is an abundant number, since it is smaller than the sum of its proper divisors (7424158434176).

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

4561648460800 is a wasteful number, since it uses less digits than its factorization.

4561648460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11693 (or 11670 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 4561648460800 in words is "four trillion, five hundred sixty-one billion, six hundred forty-eight million, four hundred sixty thousand, eight hundred".