1666888419456 has 960 divisors, whose sum is σ = 5852542089240. Its totient is φ = 466530140160.

The previous prime is 1666888419421. The next prime is 1666888419479. The reversal of 1666888419456 is 6549148886661.

It can be written as a sum of positive squares in 4 ways, for example, as 1436603605056 + 230284814400 = 1198584^2 + 479880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2201965830 + ... + 2201966586.

Almost surely, 2^{1666888419456} is an apocalyptic number.

1666888419456 is a gapful number since it is divisible by the number (16) 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 1666888419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926271044620).

1666888419456 is an abundant number, since it is smaller than the sum of its proper divisors (4185653669784).

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

1666888419456 is a wasteful number, since it uses less digits than its factorization.

1666888419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 823 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 1666888419456 in words is "one trillion, six hundred sixty-six billion, eight hundred eighty-eight million, four hundred nineteen thousand, four hundred fifty-six".