11914011459168 has 192 divisors, whose sum is σ = 38494102832640. Its totient is φ = 3141937999872.

The previous prime is 11914011459139. The next prime is 11914011459169. The reversal of 11914011459168 is 86195411041911.

It is a self number, because there is not a number n which added to its sum of digits gives 11914011459168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11914011459169) 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, 153950788 + ... + 154028156.

It is an arithmetic number, because the mean of its divisors is an integer number (200490118920).

Almost surely, 2^{11914011459168} 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 11914011459168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247051416320).

11914011459168 is an abundant number, since it is smaller than the sum of its proper divisors (26580091373472).

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

11914011459168 is a wasteful number, since it uses less digits than its factorization.

11914011459168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95029 (or 95021 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 51.

The spelling of 11914011459168 in words is "eleven trillion, nine hundred fourteen billion, eleven million, four hundred fifty-nine thousand, one hundred sixty-eight".