1968063914256 has 240 divisors, whose sum is σ = 5836515105792. Its totient is φ = 566663328000.

The previous prime is 1968063914221. The next prime is 1968063914261. The reversal of 1968063914256 is 6524193608691.

It is a self number, because there is not a number n which added to its sum of digits gives 1968063914256.

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, 42152781 + ... + 42199443.

Almost surely, 2^{1968063914256} is an apocalyptic number.

1968063914256 is a gapful number since it is divisible by the number (16) 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 1968063914256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918257552896).

1968063914256 is an abundant number, since it is smaller than the sum of its proper divisors (3868451191536).

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

1968063914256 is a wasteful number, since it uses less digits than its factorization.

1968063914256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46882 (or 46853 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

It can be divided in two parts, 19680 and 63914256, that added together give a palindrome (63933936).

The spelling of 1968063914256 in words is "one trillion, nine hundred sixty-eight billion, sixty-three million, nine hundred fourteen thousand, two hundred fifty-six".