17968504442112 has 1296 divisors, whose sum is σ = 66962848103424. Its totient is φ = 4598415360000.

The previous prime is 17968504442101. The next prime is 17968504442117. The reversal of 17968504442112 is 21124440586971.

17968504442112 is a `hidden beast` number, since 1 + 7 + 9 + 6 + 85 + 0 + 4 + 442 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17968504442117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3629265237 + ... + 3629270187.

Almost surely, 2^{17968504442112} is an apocalyptic number.

17968504442112 is a gapful number since it is divisible by the number (12) 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 17968504442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33481424051712).

17968504442112 is an abundant number, since it is smaller than the sum of its proper divisors (48994343661312).

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

17968504442112 is a wasteful number, since it uses less digits than its factorization.

17968504442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 17968504442112 in words is "seventeen trillion, nine hundred sixty-eight billion, five hundred four million, four hundred forty-two thousand, one hundred twelve".