11344322344311 has 192 divisors, whose sum is σ = 19638356175360. Its totient is φ = 6235574400000.

The previous prime is 11344322344291. The next prime is 11344322344357.

11344322344311 is a `hidden beast` number, since 1 + 1 + 344 + 32 + 234 + 43 + 11 = 666.

11344322344311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11344322344311 - 2⁶ = 11344322344247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344322324311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1145770461 + ... + 1145780361.

It is an arithmetic number, because the mean of its divisors is an integer number (102283105080).

Almost surely, 2^{11344322344311} is an apocalyptic number.

11344322344311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11344322344311 is a deficient number, since it is larger than the sum of its proper divisors (8294033831049).

11344322344311 is a wasteful number, since it uses less digits than its factorization.

11344322344311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238 (or 10235 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1134432 and 2344311, that added together give a palindrome (3478743).

The spelling of 11344322344311 in words is "eleven trillion, three hundred forty-four billion, three hundred twenty-two million, three hundred forty-four thousand, three hundred eleven".