1117837667761 has 2 divisors, whose sum is σ = 1117837667762. Its totient is φ = 1117837667760.

The previous prime is 1117837667711. The next prime is 1117837667831. The reversal of 1117837667761 is 1677667387111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1054071822400 + 63765845361 = 1026680^2 + 252519^2 .

It is a cyclic number.

It is not a de Polignac number, because 1117837667761 - 2⁷ = 1117837667633 is a prime.

It is a super-2 number, since 2×1117837667761² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1117837667761.

It is not a weakly prime, because it can be changed into another prime (1117837667701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 558918833880 + 558918833881.

It is an arithmetic number, because the mean of its divisors is an integer number (558918833881).

Almost surely, 2^{1117837667761} is an apocalyptic number.

It is an amenable number.

1117837667761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1117837667761 is an equidigital number, since it uses as much as digits as its factorization.

1117837667761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12446784, while the sum is 61.

The spelling of 1117837667761 in words is "one trillion, one hundred seventeen billion, eight hundred thirty-seven million, six hundred sixty-seven thousand, seven hundred sixty-one".