1126562511141 has 12 divisors (see below), whose sum is σ = 1630881146700. Its totient is φ = 749368972800.

The previous prime is 1126562511133. The next prime is 1126562511163. The reversal of 1126562511141 is 1411152656211.

1126562511141 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 5 + 625 + 11 + 14 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 639248220900 + 487314290241 = 799530^2 + 698079^2 .

It is not a de Polignac number, because 1126562511141 - 2³ = 1126562511133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1126562511096 and 1126562511105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126562511121) 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, 139387510 + ... + 139395591.

It is an arithmetic number, because the mean of its divisors is an integer number (135906762225).

Almost surely, 2^{1126562511141} is an apocalyptic number.

It is an amenable number.

1126562511141 is a deficient number, since it is larger than the sum of its proper divisors (504318635559).

1126562511141 is a wasteful number, since it uses less digits than its factorization.

1126562511141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278783556 (or 278783553 counting only the distinct ones).

The product of its digits is 14400, while the sum is 36.

The spelling of 1126562511141 in words is "one trillion, one hundred twenty-six billion, five hundred sixty-two million, five hundred eleven thousand, one hundred forty-one".