11342644624311 has 64 divisors (see below), whose sum is σ = 20515051232256. Its totient is φ = 5382957772800.

The previous prime is 11342644624291. The next prime is 11342644624327.

11342644624311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11342644624311 - 2⁵ = 11342644624279 is a prime.

It is a super-2 number, since 2×11342644624311² (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 (11342644624391) 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, 19178320 + ... + 19760901.

It is an arithmetic number, because the mean of its divisors is an integer number (320547675504).

Almost surely, 2^{11342644624311} is an apocalyptic number.

11342644624311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11342644624311 is a deficient number, since it is larger than the sum of its proper divisors (9172406607945).

11342644624311 is a wasteful number, since it uses less digits than its factorization.

11342644624311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38939352.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 1134264 and 4624311, that added together give a palindrome (5758575).

The spelling of 11342644624311 in words is "eleven trillion, three hundred forty-two billion, six hundred forty-four million, six hundred twenty-four thousand, three hundred eleven".