668346450048 has 384 divisors, whose sum is σ = 2092080384000. Its totient is φ = 209800765440.

The previous prime is 668346449999. The next prime is 668346450067. The reversal of 668346450048 is 840054643866.

668346450048 is a `hidden beast` number, since 6 + 6 + 8 + 34 + 64 + 500 + 48 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 668346449976 and 668346450003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168474561 + ... + 168478527.

It is an arithmetic number, because the mean of its divisors is an integer number (5448126000).

Almost surely, 2^668346450048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668346450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046040192000).

668346450048 is an abundant number, since it is smaller than the sum of its proper divisors (1423733933952).

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

668346450048 is a wasteful number, since it uses less digits than its factorization.

668346450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 668346450048 in words is "six hundred sixty-eight billion, three hundred forty-six million, four hundred fifty thousand, forty-eight".