11968581916319 has 32 divisors (see below), whose sum is σ = 14024838389760. Its totient is φ = 9999927957600.

The previous prime is 11968581916301. The next prime is 11968581916439. The reversal of 11968581916319 is 91361918586911.

It is not a de Polignac number, because 11968581916319 - 2⁸ = 11968581916063 is a prime.

It is a super-3 number, since 3×11968581916319³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968581913319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301311542 + ... + 301351260.

It is an arithmetic number, because the mean of its divisors is an integer number (438276199680).

Almost surely, 2^{11968581916319} is an apocalyptic number.

11968581916319 is a deficient number, since it is larger than the sum of its proper divisors (2056256473441).

11968581916319 is a wasteful number, since it uses less digits than its factorization.

11968581916319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41771.

The product of its digits is 25194240, while the sum is 68.

The spelling of 11968581916319 in words is "eleven trillion, nine hundred sixty-eight billion, five hundred eighty-one million, nine hundred sixteen thousand, three hundred nineteen".