1164528144001 has 2 divisors, whose sum is σ = 1164528144002. Its totient is φ = 1164528144000.

The previous prime is 1164528143963. The next prime is 1164528144007. The reversal of 1164528144001 is 1004418254611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1042800422976 + 121727721025 = 1021176^2 + 348895^2 .

It is a cyclic number.

It is not a de Polignac number, because 1164528144001 - 2¹³ = 1164528135809 is a prime.

It is a super-2 number, since 2×1164528144001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1164528144007) 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 as a sum of consecutive naturals, namely, 582264072000 + 582264072001.

It is an arithmetic number, because the mean of its divisors is an integer number (582264072001).

Almost surely, 2^{1164528144001} is an apocalyptic number.

It is an amenable number.

1164528144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1164528144001 is an equidigital number, since it uses as much as digits as its factorization.

1164528144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 1164528144001 in words is "one trillion, one hundred sixty-four billion, five hundred twenty-eight million, one hundred forty-four thousand, one".