1146111755157 has 12 divisors (see below), whose sum is σ = 1655504240364. Its totient is φ = 764070126720.

The previous prime is 1146111755149. The next prime is 1146111755167. The reversal of 1146111755157 is 7515571116411.

1146111755157 is a `hidden beast` number, since 1 + 1 + 4 + 61 + 1 + 1 + 75 + 515 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1113628541796 + 32483213361 = 1055286^2 + 180231^2 .

It is not a de Polignac number, because 1146111755157 - 2³ = 1146111755149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146111755147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2384203 + ... + 2824295.

It is an arithmetic number, because the mean of its divisors is an integer number (137958686697).

Almost surely, 2^{1146111755157} is an apocalyptic number.

It is an amenable number.

1146111755157 is a deficient number, since it is larger than the sum of its proper divisors (509392485207).

1146111755157 is a wasteful number, since it uses less digits than its factorization.

1146111755157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729460 (or 729457 counting only the distinct ones).

The product of its digits is 147000, while the sum is 45.

The spelling of 1146111755157 in words is "one trillion, one hundred forty-six billion, one hundred eleven million, seven hundred fifty-five thousand, one hundred fifty-seven".