11675644657611 has 32 divisors (see below), whose sum is σ = 17072897458176. Its totient is φ = 7038594612000.

The previous prime is 11675644657559. The next prime is 11675644657639.

11675644657611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11675644657611 - 2⁹ = 11675644657099 is a prime.

It is a super-3 number, since 3×11675644657611³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11675644657511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99472020 + ... + 99589326.

It is an arithmetic number, because the mean of its divisors is an integer number (533528045568).

Almost surely, 2^{11675644657611} is an apocalyptic number.

11675644657611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11675644657611 is a deficient number, since it is larger than the sum of its proper divisors (5397252800565).

11675644657611 is a wasteful number, since it uses less digits than its factorization.

11675644657611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133303.

The product of its digits is 25401600, while the sum is 60.

The spelling of 11675644657611 in words is "eleven trillion, six hundred seventy-five billion, six hundred forty-four million, six hundred fifty-seven thousand, six hundred eleven".