11364206400191 has 16 divisors (see below), whose sum is σ = 12115358454528. Its totient is φ = 10622467699200.

The previous prime is 11364206400109. The next prime is 11364206400227. The reversal of 11364206400191 is 19100460246311.

It is a cyclic number.

It is not a de Polignac number, because 11364206400191 - 2¹⁴ = 11364206383807 is a prime.

It is a super-2 number, since 2×11364206400191² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364206400091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1964180 + ... + 5156201.

It is an arithmetic number, because the mean of its divisors is an integer number (757209903408).

Almost surely, 2^{11364206400191} is an apocalyptic number.

11364206400191 is a deficient number, since it is larger than the sum of its proper divisors (751152054337).

11364206400191 is a wasteful number, since it uses less digits than its factorization.

11364206400191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121042.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 11364206400191 in words is "eleven trillion, three hundred sixty-four billion, two hundred six million, four hundred thousand, one hundred ninety-one".