1968041661117 has 24 divisors (see below), whose sum is σ = 3086770248000. Its totient is φ = 1111959326016.

The previous prime is 1968041661077. The next prime is 1968041661127. The reversal of 1968041661117 is 7111661408691.

It is not a de Polignac number, because 1968041661117 - 2¹⁹ = 1968041136829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1968041661117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968041661127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75200617 + ... + 75226782.

It is an arithmetic number, because the mean of its divisors is an integer number (128615427000).

Almost surely, 2^{1968041661117} is an apocalyptic number.

It is an amenable number.

1968041661117 is a deficient number, since it is larger than the sum of its proper divisors (1118728586883).

1968041661117 is a wasteful number, since it uses less digits than its factorization.

1968041661117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150427505 (or 150427498 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 1968041661117 in words is "one trillion, nine hundred sixty-eight billion, forty-one million, six hundred sixty-one thousand, one hundred seventeen".