11838400193 has 8 divisors (see below), whose sum is σ = 12015350400. Its totient is φ = 11662127568.

The previous prime is 11838400121. The next prime is 11838400199. The reversal of 11838400193 is 39100483811.

11838400193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11838400193 - 2¹⁶ = 11838334657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11838400199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134138 + ... + 204131.

It is an arithmetic number, because the mean of its divisors is an integer number (1501918800).

Almost surely, 2^11838400193 is an apocalyptic number.

It is an amenable number.

11838400193 is a deficient number, since it is larger than the sum of its proper divisors (176950207).

11838400193 is an equidigital number, since it uses as much as digits as its factorization.

11838400193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338791.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 11838400193 in words is "eleven billion, eight hundred thirty-eight million, four hundred thousand, one hundred ninety-three".