1164243158001 has 243 divisors, whose sum is σ = 2245822905963. Its totient is φ = 601305677280.

The previous prime is 1164243157969. The next prime is 1164243158011. The reversal of 1164243158001 is 1008513424611.

The square root of 1164243158001 is 1079001.

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

1164243158001 is a `hidden beast` number, since 1 + 1 + 6 + 42 + 4 + 31 + 580 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1059057101025 + 105186056976 = 1029105^2 + 324324^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 1164243158001 - 2⁵ = 1164243157969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1164243158011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6729729151 + ... + 6729729323.

Almost surely, 2^{1164243158001} is an apocalyptic number.

1164243158001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1164243158001 is the 1079001-st square number.

1164243158001 is the 539501-st centered octagonal number.

It is an amenable number.

1164243158001 is a deficient number, since it is larger than the sum of its proper divisors (1081579747962).

1164243158001 is an frugal number, since it uses more digits than its factorization.

1164243158001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 1164243158001 by its sum of digits (36), we get a square (41912753688036 = 6474006²).

The spelling of 1164243158001 in words is "one trillion, one hundred sixty-four billion, two hundred forty-three million, one hundred fifty-eight thousand, one".