1668174004224 has 1080 divisors, whose sum is σ = 6091535241792. Its totient is φ = 430618705920.

The previous prime is 1668174004171. The next prime is 1668174004229. The reversal of 1668174004224 is 4224004718661.

1668174004224 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 17 + 400 + 4 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1668174004224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668174004229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12734152639 + ... + 12734152769.

Almost surely, 2^{1668174004224} is an apocalyptic number.

1668174004224 is a gapful number since it is divisible by the number (14) 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 1668174004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045767620896).

1668174004224 is an abundant number, since it is smaller than the sum of its proper divisors (4423361237568).

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

1668174004224 is a wasteful number, since it uses less digits than its factorization.

1668174004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1668174004224 in words is "one trillion, six hundred sixty-eight billion, one hundred seventy-four million, four thousand, two hundred twenty-four".