1968956208024 has 128 divisors (see below), whose sum is σ = 5486823921600. Its totient is φ = 584622581760.

The previous prime is 1968956208017. The next prime is 1968956208031. The reversal of 1968956208024 is 4208026598691.

It is a Cunningham number, because it is equal to 1403195²-1.

It is an interprime number because it is at equal distance from previous prime (1968956208017) and next prime (1968956208031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16779862 + ... + 16896794.

Almost surely, 2^{1968956208024} 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 1968956208024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743411960800).

1968956208024 is an abundant number, since it is smaller than the sum of its proper divisors (3517867713576).

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

1968956208024 is a wasteful number, since it uses less digits than its factorization.

1968956208024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118845 (or 118841 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 1968956208024 in words is "one trillion, nine hundred sixty-eight billion, nine hundred fifty-six million, two hundred eight thousand, twenty-four".