11046146133111 has 48 divisors (see below), whose sum is σ = 15817828867200. Its totient is φ = 6854236272576.

The previous prime is 11046146133091. The next prime is 11046146133151. The reversal of 11046146133111 is 11133164164011.

It is a happy number.

It is not a de Polignac number, because 11046146133111 - 2²⁷ = 11046011915383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046146133151) 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, 27299785 + ... + 27701453.

It is an arithmetic number, because the mean of its divisors is an integer number (329538101400).

Almost surely, 2^{11046146133111} is an apocalyptic number.

11046146133111 is a deficient number, since it is larger than the sum of its proper divisors (4771682734089).

11046146133111 is a wasteful number, since it uses less digits than its factorization.

11046146133111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402156 (or 402137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11046146133111 in words is "eleven trillion, forty-six billion, one hundred forty-six million, one hundred thirty-three thousand, one hundred eleven".