1968244180344 has 1152 divisors, whose sum is σ = 6673554800640. Its totient is φ = 519416561664.

The previous prime is 1968244180307. The next prime is 1968244180363. The reversal of 1968244180344 is 4430814428691.

1968244180344 is a `hidden beast` number, since 1 + 9 + 6 + 82 + 44 + 180 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15497985609 + ... + 15497985735.

It is an arithmetic number, because the mean of its divisors is an integer number (5793016320).

Almost surely, 2^{1968244180344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968244180344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336777400320).

1968244180344 is an abundant number, since it is smaller than the sum of its proper divisors (4705310620296).

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

1968244180344 is a wasteful number, since it uses less digits than its factorization.

1968244180344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1968244180344 in words is "one trillion, nine hundred sixty-eight billion, two hundred forty-four million, one hundred eighty thousand, three hundred forty-four".