1126617161761 has 32 divisors (see below), whose sum is σ = 1390569497856. Its totient is φ = 888844320000.

The previous prime is 1126617161701. The next prime is 1126617161819. The reversal of 1126617161761 is 1671617166211.

It is not a de Polignac number, because 1126617161761 - 2³⁷ = 989178208289 is a prime.

It is a super-2 number, since 2×1126617161761² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1126617161701) 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 31 ways as a sum of consecutive naturals, for example, 58120291 + ... + 58139671.

It is an arithmetic number, because the mean of its divisors is an integer number (43455296808).

Almost surely, 2^{1126617161761} is an apocalyptic number.

It is an amenable number.

1126617161761 is a deficient number, since it is larger than the sum of its proper divisors (263952336095).

1126617161761 is a wasteful number, since it uses less digits than its factorization.

1126617161761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21193.

The product of its digits is 127008, while the sum is 46.

The spelling of 1126617161761 in words is "one trillion, one hundred twenty-six billion, six hundred seventeen million, one hundred sixty-one thousand, seven hundred sixty-one".