1167171006641 has 2 divisors, whose sum is σ = 1167171006642. Its totient is φ = 1167171006640.

The previous prime is 1167171006587. The next prime is 1167171006653. The reversal of 1167171006641 is 1466001717611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 902254916641 + 264916090000 = 949871^2 + 514700^2 .

It is a cyclic number.

It is not a de Polignac number, because 1167171006641 - 2³⁴ = 1149991137457 is a prime.

It is a super-2 number, since 2×1167171006641² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1167171006041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 583585503320 + 583585503321.

It is an arithmetic number, because the mean of its divisors is an integer number (583585503321).

Almost surely, 2^{1167171006641} is an apocalyptic number.

It is an amenable number.

1167171006641 is a deficient number, since it is larger than the sum of its proper divisors (1).

1167171006641 is an equidigital number, since it uses as much as digits as its factorization.

1167171006641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 41.

The spelling of 1167171006641 in words is "one trillion, one hundred sixty-seven billion, one hundred seventy-one million, six thousand, six hundred forty-one".