13691766192 has 120 divisors (see below), whose sum is σ = 38360826000. Its totient is φ = 4206219264.

The previous prime is 13691766107. The next prime is 13691766199. The reversal of 13691766192 is 29166719631.

It is a super-3 number, since 3×13691766192³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13691766199) 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, 8508684 + ... + 8510292.

It is an arithmetic number, because the mean of its divisors is an integer number (319673550).

Almost surely, 2^13691766192 is an apocalyptic number.

13691766192 is a gapful number since it is divisible by the number (12) 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 13691766192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180413000).

13691766192 is an abundant number, since it is smaller than the sum of its proper divisors (24669059808).

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

13691766192 is a wasteful number, since it uses less digits than its factorization.

13691766192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2676 counting only the distinct ones).

The product of its digits is 734832, while the sum is 51.

The spelling of 13691766192 in words is "thirteen billion, six hundred ninety-one million, seven hundred sixty-six thousand, one hundred ninety-two".