11601206606167 has 32 divisors (see below), whose sum is σ = 12580373703744. Its totient is φ = 10677729484800.

The previous prime is 11601206606117. The next prime is 11601206606179. The reversal of 11601206606167 is 76160660210611.

It is a cyclic number.

It is not a de Polignac number, because 11601206606167 - 2¹⁹ = 11601206081879 is a prime.

It is a super-3 number, since 3×11601206606167³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11601206606117) 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, 8287567 + ... + 9585727.

It is an arithmetic number, because the mean of its divisors is an integer number (393136678242).

Almost surely, 2^{11601206606167} is an apocalyptic number.

11601206606167 is a deficient number, since it is larger than the sum of its proper divisors (979167097577).

11601206606167 is a wasteful number, since it uses less digits than its factorization.

11601206606167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298419.

The product of its (nonzero) digits is 108864, while the sum is 43.

Adding to 11601206606167 its reverse (76160660210611), we get a palindrome (87761866816778).

The spelling of 11601206606167 in words is "eleven trillion, six hundred one billion, two hundred six million, six hundred six thousand, one hundred sixty-seven".