11364388346311 has 64 divisors (see below), whose sum is σ = 15615711175680. Its totient is φ = 7982869386240.

The previous prime is 11364388346309. The next prime is 11364388346383.

11364388346311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11364388346311 - 2¹ = 11364388346309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364388349311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 354356985 + ... + 354389053.

It is an arithmetic number, because the mean of its divisors is an integer number (243995487120).

Almost surely, 2^{11364388346311} is an apocalyptic number.

11364388346311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11364388346311 is a deficient number, since it is larger than the sum of its proper divisors (4251322829369).

11364388346311 is a wasteful number, since it uses less digits than its factorization.

11364388346311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40376.

The product of its digits is 2985984, while the sum is 52.

The spelling of 11364388346311 in words is "eleven trillion, three hundred sixty-four billion, three hundred eighty-eight million, three hundred forty-six thousand, three hundred eleven".