71166304001 has 8 divisors (see below), whose sum is σ = 77200057704. Its totient is φ = 65212467840.

The previous prime is 71166303991. The next prime is 71166304049. The reversal of 71166304001 is 10040366117.

It can be written as a sum of positive squares in 4 ways, for example, as 2848890625 + 68317413376 = 53375^2 + 261376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 71166304001 - 2⁶ = 71166303937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71166304091) 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 7 ways as a sum of consecutive naturals, for example, 19977530 + ... + 19981091.

It is an arithmetic number, because the mean of its divisors is an integer number (9650007213).

Almost surely, 2^71166304001 is an apocalyptic number.

It is an amenable number.

71166304001 is a deficient number, since it is larger than the sum of its proper divisors (6033753703).

71166304001 is a wasteful number, since it uses less digits than its factorization.

71166304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39958771.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 71166304001 in words is "seventy-one billion, one hundred sixty-six million, three hundred four thousand, one".