11641355314611 has 16 divisors (see below), whose sum is σ = 16934591152128. Its totient is φ = 7054654068000.

The previous prime is 11641355314579. The next prime is 11641355314619.

11641355314611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11641355314611 - 2⁵ = 11641355314579 is a prime.

It is a super-2 number, since 2×11641355314611² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11641355314619) 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, 17488051 + ... + 18141516.

It is an arithmetic number, because the mean of its divisors is an integer number (1058411947008).

Almost surely, 2^{11641355314611} is an apocalyptic number.

11641355314611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11641355314611 is a deficient number, since it is larger than the sum of its proper divisors (5293235837517).

11641355314611 is a wasteful number, since it uses less digits than its factorization.

11641355314611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35639482.

The product of its digits is 129600, while the sum is 42.

It can be divided in two parts, 1164135 and 5314611, that added together give a palindrome (6478746).

The spelling of 11641355314611 in words is "eleven trillion, six hundred forty-one billion, three hundred fifty-five million, three hundred fourteen thousand, six hundred eleven".