1668145416000 has 336 divisors, whose sum is σ = 6407521278912. Its totient is φ = 381290112000.

The previous prime is 1668145415897. The next prime is 1668145416011. The reversal of 1668145416000 is 6145418661.

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 (42).

It is a congruent number.

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, 466755 + ... + 1885245.

Almost surely, 2^{1668145416000} is an apocalyptic number.

1668145416000 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 1668145416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203760639456).

1668145416000 is an abundant number, since it is smaller than the sum of its proper divisors (4739375862912).

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

1668145416000 is a wasteful number, since it uses less digits than its factorization.

1668145416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418535 (or 1418508 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1668145416000 in words is "one trillion, six hundred sixty-eight billion, one hundred forty-five million, four hundred sixteen thousand".