1666029048768 has 336 divisors, whose sum is σ = 5836435063200. Its totient is φ = 464397373440.

The previous prime is 1666029048763. The next prime is 1666029048769. The reversal of 1666029048768 is 8678409206661.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666029048763) by changing a digit.

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, 3231598 + ... + 3711506.

It is an arithmetic number, because the mean of its divisors is an integer number (17370342450).

Almost surely, 2^{1666029048768} is an apocalyptic number.

1666029048768 is a gapful number since it is divisible by the number (18) 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 1666029048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918217531600).

1666029048768 is an abundant number, since it is smaller than the sum of its proper divisors (4170406014432).

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

1666029048768 is a wasteful number, since it uses less digits than its factorization.

1666029048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479985 (or 479962 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1666029048768 in words is "one trillion, six hundred sixty-six billion, twenty-nine million, forty-eight thousand, seven hundred sixty-eight".