1166414146611 has 48 divisors (see below), whose sum is σ = 1843574797728. Its totient is φ = 653837184000.

The previous prime is 1166414146591. The next prime is 1166414146631.

1166414146611 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1166414146591) and next prime (1166414146631).

It is not a de Polignac number, because 1166414146611 - 2⁹ = 1166414146099 is a prime.

It is a super-2 number, since 2×1166414146611² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166414146631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77131131 + ... + 77146251.

It is an arithmetic number, because the mean of its divisors is an integer number (38407808286).

Almost surely, 2^{1166414146611} is an apocalyptic number.

1166414146611 is a deficient number, since it is larger than the sum of its proper divisors (677160651117).

1166414146611 is a wasteful number, since it uses less digits than its factorization.

1166414146611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092 (or 25085 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The spelling of 1166414146611 in words is "one trillion, one hundred sixty-six billion, four hundred fourteen million, one hundred forty-six thousand, six hundred eleven".