11808193963104 has 960 divisors, whose sum is σ = 44852512320000. Its totient is φ = 2957152665600.

The previous prime is 11808193963103. The next prime is 11808193963123. The reversal of 11808193963104 is 40136939180811.

11808193963104 is a `hidden beast` number, since 1 + 1 + 80 + 81 + 93 + 96 + 310 + 4 = 666.

11808193963104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11808193963103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7877380147 + ... + 7877381645.

It is an arithmetic number, because the mean of its divisors is an integer number (46721367000).

Almost surely, 2^{11808193963104} is an apocalyptic number.

11808193963104 is a gapful number since it is divisible by the number (14) 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 11808193963104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22426256160000).

11808193963104 is an abundant number, since it is smaller than the sum of its proper divisors (33044318356896).

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

11808193963104 is a wasteful number, since it uses less digits than its factorization.

11808193963104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 11808193963104 in words is "eleven trillion, eight hundred eight billion, one hundred ninety-three million, nine hundred sixty-three thousand, one hundred four".