1968450138732 has 288 divisors, whose sum is σ = 5925748631040. Its totient is φ = 494068377600.

The previous prime is 1968450138719. The next prime is 1968450138749. The reversal of 1968450138732 is 2378310548691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 867539694 + ... + 867541962.

It is an arithmetic number, because the mean of its divisors is an integer number (20575516080).

It is a 1-persistent number, because it is pandigital, but 2⋅1968450138732 = 3936900277464 is not.

Almost surely, 2^{1968450138732} is an apocalyptic number.

1968450138732 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 1968450138732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962874315520).

1968450138732 is an abundant number, since it is smaller than the sum of its proper divisors (3957298492308).

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

1968450138732 is a wasteful number, since it uses less digits than its factorization.

1968450138732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 1968450138732 in words is "one trillion, nine hundred sixty-eight billion, four hundred fifty million, one hundred thirty-eight thousand, seven hundred thirty-two".