11681940001968 has 60 divisors (see below), whose sum is σ = 34413902206840. Its totient is φ = 3689033683968.

The previous prime is 11681940001951. The next prime is 11681940002041. The reversal of 11681940001968 is 86910004918611.

11681940001968 is a `hidden beast` number, since 1 + 168 + 1 + 9 + 400 + 0 + 19 + 68 = 666.

It is a super-3 number, since 3×11681940001968³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2134854721 + ... + 2134860192.

Almost surely, 2^{11681940001968} is an apocalyptic number.

11681940001968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11681940001968 is an abundant number, since it is smaller than the sum of its proper divisors (22731962204872).

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

11681940001968 is a wasteful number, since it uses less digits than its factorization.

11681940001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269714946 (or 4269714937 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 11681940001968 in words is "eleven trillion, six hundred eighty-one billion, nine hundred forty million, one thousand, nine hundred sixty-eight".