66612341418600 has 192 divisors, whose sum is σ = 206634103142400. Its totient is φ = 17751610356480.

The previous prime is 66612341418583. The next prime is 66612341418611. The reversal of 66612341418600 is 681414321666.

66612341418600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66612341418600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8930461671 + ... + 8930469129.

It is an arithmetic number, because the mean of its divisors is an integer number (1076219287200).

Almost surely, 2^{66612341418600} is an apocalyptic number.

66612341418600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66612341418600 is an abundant number, since it is smaller than the sum of its proper divisors (140021761723800).

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

66612341418600 is a wasteful number, since it uses less digits than its factorization.

66612341418600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15272 (or 15263 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 66612341418600 in words is "sixty-six trillion, six hundred twelve billion, three hundred forty-one million, four hundred eighteen thousand, six hundred".