1668171429000 has 512 divisors, whose sum is σ = 5885343360000. Its totient is φ = 442494835200.

The previous prime is 1668171428983. The next prime is 1668171429007. The reversal of 1668171429000 is 9241718661.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1668171429007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 435211084 + ... + 435214916.

It is an arithmetic number, because the mean of its divisors is an integer number (11494811250).

Almost surely, 2^{1668171429000} is an apocalyptic number.

1668171429000 is a gapful number since it is divisible by the number (10) 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 1668171429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942671680000).

1668171429000 is an abundant number, since it is smaller than the sum of its proper divisors (4217171931000).

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

1668171429000 is an equidigital number, since it uses as much as digits as its factorization.

1668171429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1668171429000 in words is "one trillion, six hundred sixty-eight billion, one hundred seventy-one million, four hundred twenty-nine thousand".