1126160296849 has 81 divisors (see below), whose sum is σ = 1414325336571. Its totient is φ = 893960776800.

The previous prime is 1126160296829. The next prime is 1126160296867. The reversal of 1126160296849 is 9486920616211.

The square root of 1126160296849 is 1061207.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1082001477249 + 44158819600 = 1040193^2 + 210140^2 .

It is not a de Polignac number, because 1126160296849 - 2⁷ = 1126160296721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1126160296849.

It is not an unprimeable number, because it can be changed into a prime (1126160296829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11150101899 + ... + 11150101999.

Almost surely, 2^{1126160296849} is an apocalyptic number.

1126160296849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1126160296849 is the 1061207-th square number.

1126160296849 is the 530604-th centered octagonal number.

It is an amenable number.

1126160296849 is a deficient number, since it is larger than the sum of its proper divisors (288165039722).

1126160296849 is an frugal number, since it uses more digits than its factorization.

1126160296849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The spelling of 1126160296849 in words is "one trillion, one hundred twenty-six billion, one hundred sixty million, two hundred ninety-six thousand, eight hundred forty-nine".